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Karen works at an animal shelter with 30 dogs, 28 cats, and 20 lizards. Every month, 50% of the dogs are adopted, 25% of the cats are adopted, and 20% of lizards are adopted. If the shelter takes in 13 new pets a month, how many pets are there after one month?

First find how many dogs get adopted each month by multiplying the number of dogs by their chance of getting adopted: 30 dogs * 50% = <<30*50*.01=15>>15 dogs Then do the same thing for the cats: 28 cats * 25% = <<28*25*.01=7>>7 cats And do the same thing for the lizards: 20 lizards * 20% = <<20*20*.01=4>>4 lizards Now add up the number of each kind of pet to find the initial total number of pets: 30 dogs + 28 cats + 20 lizards = <<30+28+20=78>>78 pets Now subtract all the pets that get adopted in one month from the initial number of pets: 78 pets - 15 dogs - 7 cats - 4 lizards = <<78-15-7-4=52>>52 pets Now add the extra 13 pets the shelter takes in that month to find the final number of pets: 52 pets + 13 pets = <<52+13=65>>65 pets #### 65

Rubble has $15 in his pocket and he needs to buy 2 notebooks and 2 pens. Each notebook cost $4.00 meanwhile each pen cost $1.50. How much money will be left from Rubble after the purchase?

The total cost of two notebooks is $4.00 x 2 = $<<4*2=8.00>>8.00. The total cost of two pen $1.50 x 2 = $<<1.5*2=3.00>>3.00. So, the total amount Rubble spent for all the stuff was $8.00 + $3.00 = $<<8+3=11.00>>11.00. Therefore, Rubble was left off with $15.00 - $11.00 = $<<15-11=4.00>>4.00. #### 4

Mr. John jogs for 1 hour 30 minutes in the morning every day. How much time (in hours) will he have spent jogging after two weeks?

There are 60 minutes in an hour so 1 hour 30 minutes is equivalent to [1 + (30/60)] hours = <<1.5=1.5>>1.5 hours There are 7 days in a week so he spends 1.5*7 = <<7*1.5=10.5>>10.5 hours jogging every week After 2 weeks he will have spent 2*10.5 = <<2*10.5=21>>21 hours jogging. #### 21

Gerald wants to buy a meat pie that costs 2 pfennigs. Gerald has 54 farthings, and there are 6 farthings to a pfennig. How many pfennigs will Gerald have left after buying the pie?

First convert the number of farthings Gerald has to pfennigs by dividing by the exchange rate: 54 farthings / 6 farthings/pfennig = <<54/6=9>>9 pfennigs Then subtract the cost of the meat pie to find how many pfennigs Gerald has left: 9 pfennigs - 2 pfennigs = <<9-2=7>>7 pfennigs #### 7

If I read 4 novels with 200 pages each in a month, how many pages of novels will I read in a year?

Since each novel has 200 pages, you read 4*200 = <<4*200=800>>800 pages of novels every month. Since a year has 12 months, you will read 800*12 = <<800*12=9600>>9600 pages in a year. #### 9600

Hadassah took six hours to paint 12 paintings. What would be the total time she's taken to finish all the paintings if she paints 20 more paintings?

If it took Hadassah six hours to paint 12 paintings, then she paints 12/6 = <<12/6=2>>2 paintings in an hour. If two paintings take an hour to complete, 20 paintings will take 20/2 = <<20/2=10>>10 hours. The total time she took to finish all the paintings is 10+6 = <<10+6=16>>16 hours. #### 16

There are some jelly beans in a jar. Three fourths of the jelly beans are red, and one quarter of the red jelly beans are coconut flavored. If 750 jelly beans are coconut flavored, how many jelly beans are there in the jar?

There are 750*4=<<750*4=3000>>3000 red jelly beans. There are 3000/3*4=<<3000/3*4=4000>>4000 jelly beans in the jar. #### 4000

Four years ago, Kody was only half as old as Mohamed. If Mohamed is currently twice 30 years old, how old is Kody?

Mohammed is currently 2*30 = <<2*30=60>>60 years old. four years ago, Mohammed was 60-4 = <<60-4=56>>56 years old Four years ago, Kody was half Mohammed's age, which is 56/2 = <<56/2=28>>28 years old. Currently, Kody is 28+4 = <<28+4=32>>32 years old #### 32

Rodney, Roger and Ron can lift a combined weight of 239 pounds. Rodney can lift twice as much as Roger, and Roger can lift 7 pounds less than 4 times the amount that Ron can lift. How much can Rodney lift?

Let x represent the amount that Ron can lift. Roger: 4x-7 Rodney:2(4x-7)=8x-14 Total:x+4x-7+8x-14=239 13x-21=239 13x=260 x=<<20=20>>20 Rodney:8(20)-14=146 pounds #### 146

The largest room in Mrs. McAvoy's house is 45 feet wide and 30 feet long. The smallest room in that same house is 15 feet wide and 8 feet long. What is the difference in area between the largest room and the smallest room?

The area of the largest room is 45 ft x 30 ft = <<45*30=1350>>1350 sq ft The area of the smallest room is 15 ft x 8 ft = <<15*8=120>>120 sq ft The difference between the two is 1350 sq ft - 120 sq ft = <<1350-120=1230>>1230 sq ft #### 1230

Nick has 60 cans. Each can takes up 30 square inches of space before being compacted and 20% of that amount after being compacted. How much space do all the cans take up after being compacted?

First find the total amount of space the cans take up before being compacted: 60 cans * 30 sq in / can = <<60*30=1800>>1800 sq in Then multiply that amount by the percentage of space they take up after being compacted: 1800 sq in * 20% = <<1800*20*.01=360>>360 sq in #### 360

Mason, Noah and Jacob want to have an eating contest but can't agree on what food to eat. Mason wants hot dogs, Noah insists on burgers, and Jacob thinks they should eat pies. They finally agree that everyone can eat whatever they want and they'll use the weight of the food to determine who wins. A hot dog weighs 2 ounces, a burger weighs 5 ounces, and a pie weighs 10 ounces. Jacob eats three fewer pies than Noah eats burgers. Mason eats 3 times as many hotdogs as the number of pies consumed by Jacob. If Noah ate 8 burgers, what is the total weight of the hotdogs that Mason ate?

Jacob ate 8 – 3 = <<8-3=5>>5 pies. Noah ate 5 * 3 = <<5*3=15>>15 hotdogs. The total weight of the hotdogs was 15 * 2 ounces = <<15*2=30>>30 ounces. #### 30

Walter fell from the eighth platform of some scaffolding and fell past David after falling 4 meters. If he fell for an additional three more times that depth before hitting the ground, and the platforms are evenly spaced out in height, what platform was David on?

Walter fell 4 meters and an additional three times that depth which is 3*4 = 12 meters He fell for a total of 4+12 = <<4+12=16>>16 meters The eighth platform is 16 meters high and the platforms are evenly spaced so each platform is 16/8 = <<16/8=2>>2 meters high David was located 4 meters below the 16 meter level which is 16-4 = <<16-4=12>>12 meters high Each platform is 2 meters high so 12 meters would mean the 12/2 = <<12/2=6>>6th platform #### 6

Sandy's goal is to drink 3 liters of water in a day. She drinks 500 milliliters of water every after 2 hours. After how many hours will she be able to drink a total of 3 liters of water?

Since there are 1000 milliliters in 1 liter, then 3 liters is equal to 3 x 1000 = <<3*1000=3000>>3000 milliliters. She needs to drink 3000/500 = <<3000/500=6>>6 sets of 500 milliliters of water. So, she will be able to drink a total of 3 liters after 6 sets x every 2 hours = 12 hours. #### 12

Brian likes to read books. He read one book that had 20 chapters, two books that had 15 chapters each, and one book that had half the chapters of the three previous books put together. How many chapters of books did Brian read?

Brian read two books with 15 chapters, so he read 2*15=<<2*15=30>>30 chapters. He also read a book with 20 chapters, bringing the total for the first three to 30+20=<<30+20=50>>50 chapters. He then read a book with half the chapters of his cumulative total so far, so it had 50/2=<<50/2=25>>25 chapters In total, he read 30+20+25=<<30+20+25=75>>75 chapters. #### 75

Alec is running for Class President. He thinks that if he can get three-quarters of the class to vote for him then there is no chance anyone else can beat him. Half of the class have already said they will vote for him but out of the remaining students, only 5 have said they are thinking about voting for him. He surveys the students who are thinking about voting for someone else, and changes his flyers to reflect the issues these students are concerned about. This results in a fifth of these students saying they'll vote for him. If Alec's class has 60 students and everyone who said they will vote for him does so, how many more votes does Alec need to reach his goal number of votes?

To calculate Alec's goal number of votes, we need to know that 60 students / 4 = <<60/4=15>>15 students is equal to one-quarter of the class students. Alec's goal is therefore 15 students * 3 quarters = <<15*3=45>>45 votes. Half of the class said they will vote for him, so there are already 60 students / 2 = <<60/2=30>>30 votes. Another 5 students are thinking about voting for him which leaves a total so far of 30 + 5 = <<30+5=35>>35 votes. This means there are 60 students - 35 voting for Alec = <<60-35=25>>25 students not voting for Alec. A fifth of these decided to vote, so this is a further 25 students / 5 = <<25/5=5>>5 votes. Alec is therefore receiving a total of 35 + 5 = <<35+5=40>>40 votes. So he has missed his goal by 45 goal votes - 40 actual votes = <<45-40=5>>5 votes. #### 5

Three towns, Toadon, Gordonia, and Lake Bright, have 80000 people. Gordonia has 1/2 times the total population in the three cities. If the population of Toadon is 60 percent of Gordonia's population, how many people live in Lake Bright?

The population of Gordonia is 1/2 * 80000 people = 40000 people Toadon has 60/100 * 40000 people = <<60/100*40000=24000>>24000 people The total population of Gordonia and Toadon is 40000 people + 24000 people = <<40000+24000=64000>>64000 people The population of Lake Bright is 80000 people - 64000 people = <<80000-64000=16000>>16000 people #### 16000

Over the past five years, on July 4th, the high temperature for Washington, DC has been: 90 degrees in 2020, 90 degrees in 2019, 90 degrees in 2018, 79 degrees in 2017 and 71 degrees in 2016. What is the average temperature for July 4th in Washington, DC over the past 5 years?

Over the past five years, the sum of the temperatures was 90+90+90+79+71=<<90+90+90+79+71=420>>420 To find the average temperature you divide the total temperature (420) by 5, so 420/5 = <<420/5=84>>84 degrees #### 84

Bernie loves eating chocolate. He buys two chocolates every week at the local store. One chocolate costs him $3. In a different store, there is a long-term promotion, during which each chocolate costs only $2. How much would Bernie save in three weeks, if he would buy his chocolates in this store instead of his local one?

During three weeks, Bernie buys 3 * 2 = <<3*2=6>>6 chocolates. In the local store, he pays for them 6 * 3 = $<<6*3=18>>18. If Bernie would buy the same chocolates in the different store, he would pay 6 * 2 = $<<6*2=12>>12. So Bernie would be able to save 18 - 12 = $<<18-12=6>>6. #### 6

A machine at the soda factory can usually fill a barrel of soda in 3 minutes. However this morning a leak went unnoticed and it took 5 minutes to fill one barrel. If the leak remains undetected, how much longer will it take to fill 12 barrels of soda than on a normal day when the machine works fine?

On a regular day it would take 3*12=<<3*12=36>>36 minutes With the leak it will take 5*12=<<5*12=60>>60 minutes It will take 60-36=<<60-36=24>>24 more minutes if the leak goes undetected #### 24

Sam and Jeff had a skipping competition at recess. The competition was split into four rounds. Sam completed 1 more skip than Jeff in the first round. Jeff skipped 3 fewer times than Sam in the second round. Jeff skipped 4 more times than Sam in the third round. Jeff got tired and only completed half the number of skips as Sam in the last round. If Sam skipped 16 times in each round, what is the average number of skips per round completed by Jeff?

In round one, Jeff completed 16 - 1 = <<16-1=15>>15. In round two, Jeff completed 16 - 3 = <<16-3=13>>13. In round three, Jeff completed 16 + 4 = <<16+4=20>>20. In round four, Jeff completed 16 / 2 = <<16/2=8>>8. Jeff completed 15 + 13 + 20 + 8 = <<15+13+20+8=56>>56 skips in total. Jeff skipped an average of 56 / 4 = <<56/4=14>>14 skips per round. #### 14

Claire won a $100 gift card to her favorite coffee shop. She wants to treat herself to a latte that cost $3.75 and a croissant for $3.50 every morning for a week. She also plans to buy 5 cookies that cost $1.25 each. How much money will be left on her card after a week of coffee and pastry?

Every day she buys $3.75 latte and $3.50 croissant for a total of 3.75+3.50 = $<<3.75+3.50=7.25>>7.25 per day If she spends $7.25 a day for 7 days she will spend 7.25*7 = $<<7.25*7=50.75>>50.75 in one week If she buys 5 cookies at $1.25 each she will spend 5*1.25 = $<<5*1.25=6.25>>6.25 Her gift card is for $100 and she spends $50.75 and an additional $6.25 that will leave her with 100-50.75-6.25 = $<<100-50.75-6.25=43.00>>43.00 on her gift card #### 43

Jessica wrote a long letter to her aunt and needed to put stamps on it to mail it. She used eight pieces of paper that weigh 1/5 of an ounce each, and her envelope weighs 2/5 of an ounce. She needed one stamp per ounce. How many stamps did Jessica need to mail her letter?

Jessica’s papers weigh 8 * 1/5 = 8/5 ounces. The papers in the envelope weigh 8/5 + 2/5 = 10/5 = <<8/5+2/5=2>>2 ounces. Thus, Jessica needs 2 * 1 = <<2*1=2>>2 stamps to mail her letter. #### 2

The largest frog can grow to weigh 10 times as much as the smallest frog. The largest frog weighs 120 pounds. How much more does the largest frog weigh than the smallest frog?

To find the weight of the smallest frog, 120 pounds / 10 = <<120/10=12>>12 pounds for the smallest frog. The difference is 120 - 12 = <<120-12=108>>108 pounds. #### 108

There are two warehouses. The first warehouse has twice as many boxes as the second warehouse. If the first warehouse has 400 boxes, how many boxes are there in both warehouses combined?

The second warehouse has 400/2 = <<400/2=200>>200 boxes. Collectively, there are 400+200 = <<400+200=600>>600 boxes in the first and second warehouse. #### 600

Katya sold 8 glasses of lemonade and Ricky sold 9 glasses of lemonade. If Tina sold twice as many as Katya and Ricky's combined sales, how many more glasses of lemonade than Katya did Tina sell?

Katya and Ricky sold 8 + 9 = <<8+9=17>>17 glasses of lemonade. Tina sold 17 x 2 = <<17*2=34>>34 glasses of lemonade. Tina sold 34 - 8 = <<34-8=26>>26 more glasses of lemonade than Katya #### 26

There were 37 jellybeans in a jar. Pat removed 15 of them. Pat then added 5 of the removed jellybeans back in, and then removed 4 more. How many jellybeans are now in the jar?

After removing 15 jellybeans, there were 37-15=<<37-15=22>>22 jellybeans in the jar. After adding back 5 jellybeans, there were 22+5=<<22+5=27>>27 jellybeans in the jar. After removing 4 more jellybeans, there were 27-4=<<27-4=23>>23 jellybeans left in the jar. #### 23

There are four growing trees. The first tree grows 1 meter/day, the second grows the same amount in half the time, the third grows 2 meters/day, and the fourth tree grows a meter more than the third each day. How many meters did the trees grow in total in 4 days?

The second tree grows 1*2 = <<1*2=2>>2 meters a day. The fourth tree grows 2+1 = <<2+1=3>>3 meters a day. The first tree grows 4*1 = <<4*1=4>>4 meters in 4 days. The second tree grows 2*4 = <<2*4=8>>8 meters in 4 days. The third tree grows 2*4 = <<2*4=8>>8 meters in 4 days. The fourth tree grows 3*4 = <<3*4=12>>12 meters in 4 days. In 4 days, all four trees grew 4+8+8+12 = <<4+8+8+12=32>>32 meters combined. #### 32

In a class of 30 students, the teacher polls the students on their favorite subject. 1/5 of the students like Math, and 1/3 like English. 1/7 of the remaining students like Science. The rest don’t have a favorite subject. How many students don’t have a favorite subject?

30 x 1/5 = <<30*1/5=6>>6 students like Math. 30 x 1/3 = <<30*1/3=10>>10 students like English. So, 6 + 10 = <<6+10=16>>16 students like either Math or English. Thus, 30 - 16 = <<30-16=14>>14 students neither like Math nor English. Since 1/7 of the remaining like Science, therefore 14 x 1/7 = <<14*1/7=2>>2 students like Science. Hence, 14 - 2 = <<14-2=12>>12 students neither likes the 3 subjects. #### 12

Matilda had 20 chocolate bars and shared them evenly amongst herself and her 4 sisters. When her father got home from work, he was upset that they did not put aside any chocolates for him. They felt bad, so they each gave up half of their chocolate bars for their father. Their father then gave 3 chocolate bars to their mother and ate 2. How many chocolate bars did Matilda's father have left?

Matilda and her sisters each got 20 chocolate bars / 5 people = <<20/5=4>>4 chocolate bars/person They each gave 4/person / 2 = <<4/2=2>>2 chocolate bars/person to their father. Their father received 2 chocolate bars/person x 5 people = <<2*5=10>>10 chocolate bars Their father had 10 chocolate bars - 3 chocolate bars - 2 chocolate bars = <<10-3-2=5>>5 chocolate bars left. #### 5

Droid owns a coffee shop. He uses 3 bags of coffee beans every morning, he uses triple that number in the afternoon than in the morning, and he uses twice the morning number in the evening. How many bags of coffee beans does he use every week?

Droid uses 3 x 3 = <<3*3=9>>9 bags of coffee beans in the afternoon. He uses 3 x 2 = <<3*2=6>>6 bags of coffee beans in the evening. So, he uses a total of 3 + 9 + 6 = <<3+9+6=18>>18 bags of coffee beans every day. Therefore, Droid uses a total of 18 x 7 = <<18*7=126>>126 bags of coffee beans every week. #### 126

Randy has $200 in his piggy bank. He spends 2 dollars every time he goes to the store. He makes 4 trips to the store every month. How much money, in dollars, will be in his piggy bank after a year?

Randy spends 2*4=<<2*4=8>>8 dollars every month. Randy spends 8*12=<<8*12=96>>96 dollars in a year. Randy will have 200-96=<<200-96=104>>104 dollars in his piggy bank after a year. #### 104

Juanita enters a drumming contest. It costs $10 to enter. She has 2 minutes to hit as many drums as she can. If she hits 200 drums, she can start to make money, equal to 2.5 cents for every drum hit. How many drums does she hit if she lost $7.5 for joining the contest?

She made $2.5 from hitting drums because 10 - 7.5 = <<10-7.5=2.5>>2.5 She hit 200 drums to start making money She hit 100 drums in order to make the $2.5 because 2.5/.025 = 100 She hit 300 drums in total because 100 + 200 = <<100+200=300>>300 #### 300

A quarterback throws 50 passes in one game. He throws twice as many passes to the right of the field than he does to the left of the field. He throws 2 more passes to the center of the field than he did to the left. How many passes did he throw to the left side of the field?

Let x represent the number of passes thrown to the left side of the field Right:2x Center:x+2 Total:x+2x+x+2=50 4x+2=50 4x=48 x=<<12=12>>12 passes #### 12

Jackson collects 45 hermit crabs, 3 spiral shells per hermit crab, and 2 starfish per spiral shell. How many souvenirs does he collect total?

First find the number of spiral shells Jackson collects: 45 hermit crabs * 3 spiral shells/hermit crab = <<45*3=135>>135 spiral shells Then find the number of starfish he collects: 135 spiral shells * 2 starfish/spiral shell = <<135*2=270>>270 starfish Then add the number of each animal he collects to find the total number: 135 spiral shells + 270 starfish + 45 hermit crabs = <<135+270+45=450>>450 souvenirs #### 450

Fabian has three times more marbles than Kyle and five times more than Miles. If Fabian has 15 marbles, how many marbles do Kyle and Miles have together?

Kyle has a third of Fabian's number of marbles, so he has 15 / 3 = <<15/3=5>>5 marbles. Miles has a fifth of Fabian's number of marbles, so he has 15 / 5 = <<15/5=3>>3 marbles. Miles and Kyle together have 5 + 3 = <<5+3=8>>8 marbles. #### 8

Evan owns 40 fewer books than the number he had 2 years ago. Evan will have 60 more than five times as many books as he owns now in five years. If Evan had 200 books two years ago, calculate the total number of books he will have in five years.

If Evan had 200 books two years ago, he currently has 200-40 = <<200-40=160>>160 books. In five years, Evan will have 60 more than 160*5 = 800 books which is the number he has now. This means Evan will have 800+60 = <<800+60=860>>860 books in five years. #### 860

Micah drank 1.5 liters of water in the morning. Then she drank three times that much water in the afternoon. How many liters of water did she drink from the morning until the afternoon?

Micah drank 1.5 x 3 = <<1.5*3=4.5>>4.5 liters in the afternoon. She drank a total of 1.5 + 4.5 = <<1.5+4.5=6>>6 liters of water. #### 6

Kiaan is doing home delivery of newspapers in his neighborhood of 200 homes. After an hour of work, he has distributed newspapers to 2/5 of the homes. After another 2 hours of working, he realizes he has distributed newspapers to 60 percent of the remaining homes. How many homes does he still need to distribute the newspapers to?

After the first hour of work, he has distributed newspapers to 2/5*200 = <<2/5*200=80>>80 homes The number of homes that still need newspapers is 200-80 = <<200-80=120>>120 Two hours later, the number of homes he has distributed newspapers to is 60/100 * 120 = <<60/100*120=72>>72 homes. The number of homes he still needs to distribute newspapers to is 120-72 = <<120-72=48>>48 homes #### 48

Josh went to the shopping center. He bought 9 films and 4 books. He also bought 6 CDs. Each film cost $5, each book cost $4 and each CD cost $3. How much did Josh spend in all?

The cost of the films is 9 × $5 = $<<9*5=45>>45. The cost of the books is 4 × $4 = $<<4*4=16>>16. The cost of the CDs is 6 × $3 = $<<6*3=18>>18. Josh spent $45 + $16 + $18 = $<<45+16+18=79>>79 in total. #### 79

Alyssa and Chelsea jointly bought 40 candles to decorate their room. Alyssa used half of them, and Chelsea used 70% of the remaining candles. How many candles are there in the room now?

Alyssa used half of the candles, which is 1/2*40 = <<1/2*40=20>>20 candles The number of candles that remained is 40-20 = <<40-20=20>>20 Chelsea used 70% of the remaining candles, a total of 70/100*20 = <<70/100*20=14>>14 candles. The total number of candles in the room now is 40 - 20-14 = <<40-20-14=6>>6 #### 6

If one fourth of the engines are defective, and there are 5 batches of 80 engines each. How many engines are not defective?

There are 80*5 = <<80*5=400>>400 engines in total. 400/4 = <<400/4=100>>100 of the engines are defective. 400-100 = <<400-100=300>>300 of the engines are not defective. #### 300

Brianna started out with a bag of 24 marbles. She lost four marbles through a hole in the bag. Then, she gave away twice as many marbles as she had lost through the hole in the bag. Finally, her dog ate half as many marbles as Brianna had lost through the hole in the bag. How many marbles did Brianna have remaining?

Brianna gave away twice as many marbles as she had lost, or a total of 2*4=<<2*4=8>>8 marbles. Her dog ate half as many marbles as Brianna had lost through the hole in the bag, or 4/2=<<4/2=2>>2 marbles. If she started with 24 marbles, then the number of marbles remaining is 24-4-8-2=<<24-4-8-2=10>>10 marbles. #### 10

A zoo has 21 penguins and twice as many polar bears? How many total animals do they have?

There are 21*2=<<21*2=42>>42 polar bears So the total 21+42=<<21+42=63>>63 total animals #### 63

After collecting all the old electronics in their house, Lauryn made $2000 from selling the items on eBay. If her friend Aurelia also made 70% of what she sold on eBay after selling her used electronics, calculate the total amount of money the two friends made on eBay.

If Lauryn made $2000 from eBay, then her friend made 70/100*$2000 =$<<70/100*2000=1400>>1400 In total, the two friends made $2000+$1400 = $<<2000+1400=3400>>3400 #### 3400

Micah, Dean, and Jake are all training for a marathon organized by a local NGO to support children in their town who have cancer. Micah runs 2/3 times as fast as Dean. It takes Jake 1/3 times more time to finish the marathon than it takes Mica. If Dean takes 9 hours, what's the total time the three take to complete the marathon?

If Dean takes 9 hours to finish the marathon, it takes Micah 2/3 * 9 hours = <<9*2/3=6>>6 hours to finish the marathon. It takes Jake 1/3 * 6 hours = <<1/3*6=2>>2 more hours to finish the marathon than Micah. Jake takes a total of 6 hours + 2 hours = <<6+2=8>>8 hours to finish the marathon. Micah, Dean, and Jake take a total of 8 hours + 6 hours + 9 hours = <<8+6+9=23>>23 hours to finish the marathon. #### 23

A farmer has 52 cows. Each cow gives 5 liters of milk a day. How many liters of milk does the farmer get in a week?

The amount of milk one cow gives in a week: 5 liters/day * 7 days/week = <<5*7=35>>35 liters/week The amount of milk 52 cows give in a week: 52 cows * 35 liters/week/cow= <<52*35=1820>>1820 liters/week #### 1820

Hannah ran 9 kilometers on Monday. She ran 4816 meters on Wednesday and 2095 meters on Friday. How many meters farther did she run on Monday than Wednesday and Friday combined?

Wednesday + Friday = 4816 + 2095 = <<4816+2095=6911>>6911 meters 9 km = <<9*1000=9000>>9000 meters 9000 - 6911 = <<9000-6911=2089>>2089 meters Hannah ran 2089 meters farther on Monday than Wednesday and Friday. #### 2089

Out of the 150 students, 60% are girls and the rest are boys. Only 1/3 of the boys joined varsity clubs. How many of the boys did not join varsity clubs?

Out of the 150 students, 100% - 60% = 40% are boys. So, there are 150 x 40/100 = <<150*40/100=60>>60 boys. Out of the 60 boys, 60 x 1/3 = <<60*1/3=20>>20 joined varsity clubs. Therefore, 60 - 20 = <<60-20=40>>40 boys did not join varsity clubs. #### 40

Bill picked 50 apples from the orchard with his wife and two children. He sends each of his kids to school with 3 apples for their two favorite teachers. His wife Jill bakes two apple pies, using 10 apples per pie. How many apples does Bill have left?

Bill gives each of his children 3 apples, so since he has two children this is 3*2=<<3*2=6>>6 apples. Jill bakes 2 apple pies, using 10 apples each so this means she uses 10*2=<<2*10=20>>20 apples. In total, this means 20+6=<<20+6=26>>26 apples were used. Since Bill began with 50 apples, this means there are 50-26=<<50-26=24>>24 apples remaining. #### 24

The sky currently has 4 times as many cirrus clouds as cumulus clouds, and 12 times as many cumulus clouds as cumulonimbus clouds. If the sky currently has 3 cumulonimbus clouds, how many cirrus clouds are in the sky at this moment?

The sky has 3*12=<<3*12=36>>36 cumulus clouds. The sky has 4*36=<<4*36=144>>144 cirrus clouds. #### 144

Before Marcus went on a road trip to LA, his car had 1728 miles on it. He filled his empty gas tank twice and used up all the gas on the trip. If Marcus's car gets 30 miles per gallon and holds 20 gallons of gas, how many miles does Marcus' car have on it now?

First, figure out how many gallons of gas Marcus bought by multiply the gas tank's volume by the number of fill-ups: 20 gallons * 2 = <<20*2=40>>40 gallons Then multiply that number by Marcus's fuel mileage to find how many miles he drove: 40 gallons * 30 miles/gallon = <<40*30=1200>>1200 miles Then add that amount to the initial number of miles on Marcus' car to find the final number of miles: 1728 miles + 1200 miles = <<1728+1200=2928>>2928 miles #### 2928

A town council began the decade by planting cherry trees around the neighborhood to make the neighborhood look more welcoming. By the end of the decade, they have planted twice as many cherry trees as they originally planned and have now realized that falling cherry blossom leaves are causing a problem. Each tree drops 100 leaves each during the fall. If the town council originally intended to plant 7 cherry trees, how many leaves now fall from the trees?

The council planted twice their goal so there is a total of 7 planned cherry trees * 2 = <<7*2=14>>14 cherry trees. So there must be 14 cherry trees * 100 leaves falling from each tree = <<14*100=1400>>1400 leaves. #### 1400

The mayor commissioned two artists to paint 50 murals around the city. Once the work was completed, Celina was paid $1,000 more than 4 times the amount Diego got. If the mayor paid the two a total of $50,000, how much did Diego get?

Let d be Diego’s payment Both artists were paid (1000 + 4 * d ) + d = 50000 dollars This means that 5d = (50000 - 1000) dollars Therefore Diego was paid d = 49000 / 5 = <<49000/5=9800>>9800 dollars #### 9800

Youngsville had a population of 684 people. The town had a growth spurt and the population increased by 25% then they witnessed that 40% of the population moved away. What is the current population?

The town had 684 people then had a 25% growth spurt increasing the population by 684*.25 = 171 people The town had 684 people then they added 171 people bringing the population to 684+171 = <<684+171=855>>855 people There were 855 people and 40% moved away so it decreased by 855*.40 = 342 The population was 855 and 342 people moved away making the new population 855-342 = <<855-342=513>>513 people #### 513

Stacy has 2 more than triple as many berries as Steve. Steve has one half as many berries as Skylar. If Skylar has 20 berries, how many berries does Stacy have?

Steve has (1/2)(20)=10 berries Stacy has 2+3(10)=32 berries #### 32

Andy harvests all the tomatoes from 18 plants that have 7 tomatoes each. If he dries half the tomatoes and turns a third of the remainder into marinara sauce, how many tomatoes are left?

First find the total number of tomatoes harvested: 18 plants * 7 tomatoes/plant = <<18*7=126>>126 tomatoes Then divide that number by 2 to find how many tomatoes are left undried: 126 tomatoes / 2 = <<126/2=63>>63 tomatoes Then divide that number by 3 to find how many tomatoes are turned into sauce: 63 tomatoes / 3 = <<63/3=21>>21 tomatoes Then subtract that number from the number of undried tomatoes to find the remaining number of tomatoes: 63 tomatoes - 21 tomatoes = <<63-21=42>>42 tomatoes #### 42

Ashley wants a champagne toast at her wedding. She wants to serve 2 glasses of champagne to each of her 120 wedding guests. 1 bottle of champagne has 6 servings. How many bottles of champagne will she need?

She wants to serve 2 glasses of champagne to each of her 120 wedding guests so that's 2*120 = <<2*120=240>>240 servings Each bottle holds 6 servings and she needs 240 servings so that's 240/6 = <<240/6=40>>40 bottles of champagne #### 40

Phill had some friends over for pizza. He opens the pizza box and discovers it hasn't been sliced. Phill cuts the pizza in half, and then cuts both halves in half, and then cuts each slice in half again. Phill then passes out 1 slice to 3 of his friends and 2 slices to 2 of his friends. How many slices of pizza are left for Phill?

Phill starts with 1 pizza, cutting it in half. This means he now has 1*2=<<1*2=2>>2 slices of pizza. He cuts each of these 2 slices in half, meaning he now has 2*2= <<2*2=4>>4 slices of pizza. He then cuts these in half again, meaning he now has 4*2= <<4*2=8>>8 slices of pizza. Phill hands out 2 slices to 2 of his friends, meaning he gave out 2*2= <<2*2=4>>4 slices He hands out 1 slice to 3 others, so the total amount of slices handed out are 3+4=7 slices. Since Phill started with 8 slices, this means he has 8-7= <<8-7=1>>1 slice remaining. #### 1

Nala found 5 seashells at the beach. The next day, she found another 7, and the following day, she found twice the number she got from the first two days. How many seashells does Nala have?

On the first and second days, Nala found 5 + 7 = <<5+7=12>>12 seashells. On the third day, she found 12 x 2 = <<12*2=24>>24 seashells. Altogether, she found 12 + 24 = <<12+24=36>>36 seashells. #### 36

Carla needs to dry-clean 80 pieces of laundry by noon. If she starts work at 8 AM, how many pieces of laundry does she need to clean per hour?

First find how many hours Carla has to work: 12:00 - 8:00 = 4 hours Then divide the total amount of laundry by the number of hours to find how many pieces Carla has to clean per hour: 80 pieces / 4 hours = <<80/4=20>>20 pieces/hour #### 20

Oliver owns a laundry shop, and he charges $2 per kilo of laundry. Two days ago, his shop washed a total of 5 kilos of laundries. Yesterday, it washed five kilos of laundries more than the previous day. Today, it washed twice the number of kilos than yesterday. How much did he earn for three days?

Yesterday, his shop washed 5 + 5 = <<5+5=10>>10 kilos of laundry. Today, it washed 2 x 10 = <<2*10=20>>20 kilos of laundry. Thus, Oliver's shop washed a total of 5 + 10 + 20 = <<5+10+20=35>>35 kilos of laundries for three days. Therefore, his shop earned 35 x $2 = $<<35*2=70>>70 for three days. #### 70

Melanie baked 10 batches of brownies, with 20 brownies in each batch. She set aside 3/4 of the brownies in each batch for a bake sale, put 3/5 of the remaining in a container, and gave out the rest. How many brownies are given out?

Melanie set aside 20 x 3/4 = <<20*3/4=15>>15 brownies from each batch for a bake sale. So, there are 20 - 15 = <<20-15=5>>5 brownies that are not for bake sale from each batch. Out of the 5, 5 x 3/5 = <<5*3/5=3>>3 brownies are kept in a container from each batch. Thus, 5 - 3 = <<5-3=2>>2 brownies are given out from each batch. Therefore, a total of 2 x 10 = <<2*10=20>>20 brownies are given out from the 10 batches. #### 20

Ben's hockey team is 60% boys and the rest are girls. Half the girls are juniors and the other half are seniors. If the team has 50 players, how many junior girls are there?

The team is 40% girls because 100 - 60 = <<100-60=40>>40 The team has 20 girls because 50 x .4 = <<50*.4=20>>20 The team has 10 junior girls because 20 / 2 = <<20/2=10>>10 #### 10

It takes John 13 seconds to run 100 meters. He only goes 4 meters in the first second. He then maintains the same speed for the rest of the race. James is 2 m/s faster at the top speed and he can run the first 10 meters in 2 seconds. How long does it take James to run 100 meters?

John runs 100-4=<<100-4=96>>96 meters once he reaches his max speed He runs it in 13-1=<<13-1=12>>12 seconds So he runs at a speed of 96/12=<<96/12=8>>8 m/s So that means James's top speed is 8+2=<<8+2=10>>10 m/s He has to run 100-10=<<100-10=90>>90 meters at his top speed So he runs that at 90/10=<<90/10=9>>9 seconds So he takes 9+2=<<9+2=11>>11 seconds to run 100 meters #### 11

Tina's bag contains nine apples, 5 oranges, and 17 tangerines. If she took away 2 oranges and 10 tangerines, how many more tangerines than oranges would she have left?

Tina has 5-2 = <<5-2=3>>3 oranges. Tina has 17-10 = <<17-10=7>>7 tangerines. Tina has 7-3=<<7-3=4>>4 more tangerines than oranges. #### 4

David finished his homework in 60 minutes. He spent 15 minutes on his math homework and 18 minutes on his spelling homework. He spent the rest of the time reading for his daily reading log. How many minutes did he spend reading?

He spent 15 + 18 = <<15+18=33>>33 minutes doing homework. David spent 60 - 33 = <<60-33=27>>27 minutes reading. #### 27

A city has a population of 300,000. 50,000 people immigrate to the country and then 30,000 people leave. After that 1/8 of the population gets pregnant and 1/4 of those people have twins. How many people are there after the births?

There was a net immigration to the country of 50,000-30,000=<<50000-30000=20000>>20,000 So the total number of people before birth is 300,000+20,000=<<300000+20000=320000>>320,000 That means 320,000/8=<<320000/8=40000>>40,000 get pregnant So 40,000/4=<<40000/4=10000>>10,000 have twins So that means they have 10,000*2=<<10000*2=20000>>20,000 children There are 40,000-10,000=<<40000-10000=30000>>30,000 children from single births So the total number of people is 320,000+30,000+20,000=<<320000+30000+20000=370000>>370,000 #### 370000

Coral reads 30 pages of a book on night 1, and 2 less than twice that on night 2. Night 3 Coral reads 3 more pages than the sum of the first two nights. How many total pages did Coral read in the 3 nights?

Night 1:30 pages Night 2:2(30)-2=58 pages Night 3:3+(30+58)=91 pages Total:30+58+91=<<30+58+91=179>>179 pages #### 179

A construction company is building 2 apartment buildings with 12 floors each. The apartments are almost ready to sell but all of them need doors to be completed. Each floor has 6 apartments, and each apartment needs 7 doors in total. How many doors does the company need to buy?

The number of floors is 12 floors/building x 2 buildings = 24 floors The number of apartments is 6 apartments/floor x 24 floors = <<6*24=144>>144 apartments The company has to buy 7 doors/apartment x 144 apartments = <<7*144=1008>>1008 doors #### 1008

Sally reads 10 pages of a book on weekdays and 20 pages on weekends. If it takes 2 weeks for Sally to finish her book, how many pages that book has?

Two weeks has 5*2=<<5*2=10>>10 weekdays. Two weeks has 2*2=<<2*2=4>>4 weekends. On weekdays, she reads 10*10=<<10*10=100>>100 pages in total. On weekends, she reads 20*4=<<20*4=80>>80 pages in total. So the book has 100+80=<<100+80=180>>180 pages. #### 180

Kim has 4 dozen shirts. She lets her sister have 1/3 of them. How many shirts does she have left?

She had 4*12=<<4*12=48>>48 shirts to start with She gives away 48/3=<<48/3=16>>16 So she has 48-16=<<48-16=32>>32 left #### 32

Johns goes to the gym 3 times a week. He spends 1 hour each day lifting weight. Additionally, he also spends a third of his weightlifting time warming up and doing cardio each day. How many hours does he spend at the gym a week?

He spends 60/3=<<60/3=20>>20 minutes warming up So he spends 60+20=<<60+20=80>>80 minutes at the gym per day That means he spends 80*3=<<80*3=240>>240 minutes at the gym So he spends 240/60=<<240/60=4>>4 hours at the gym a week #### 4

Spongebob works in a burger shop. If he sells 30 burgers for $2 each and 12 large fries for $1.5. How much will Spongebob earn for the day?

Spongebob earned 30 x $2 = $<<30*2=60>>60 for the burgers. He also earned 12 x $1.5 = $<<12*1.5=18>>18 for the large fries. Therefore, Spongebob earned $60 + $18 = $<<60+18=78>>78 for the day. #### 78

A basketball team played 40 games and won 70% of the games. It still had 10 games to play. How many games can they lose to win 60% of their games?

The team has won 40 x 70/100 = <<40*70/100=28>>28 games out of 40. There a total of 40 + 10 = <<40+10=50>>50 games to be played. The team has to win a total of is 50 x 60/100 = <<50*60/100=30>>30 games. So, it still needs to win 30 - 28 = <<30-28=2>>2 more games. Hence, they can still lose 10 - 2 = <<10-2=8>>8 games. #### 8

If I give my brother 2 marbles I will have double his number of marbles, but my friend will have triple the number I do. The total number of marbles we have together is 63. How many marbles do I have?

Let X be the number of marbles I have. If I give my brother 2 marbles, I'll have X-2 marbles left. And my brother will have (X-2)/2 marbles. And my friend will have (X-2)*3 left. So the total number of marbles is X-2 + (X-2)/2 + (X-2)*3 = 63. (X-2)*9/2 = 63. X-2 = 14. X = <<16=16>>16 marbles. #### 16

James spends 10 minutes downloading a game, half as long installing it, and triple that combined amount of time going through the tutorial. How long does it take before he can play the main game?

First divide the download time in half to find the install time: 10 minutes / 2 = <<10/2=5>>5 minutes Then add that amount of time to the download time: 5 minutes + 10 minutes = <<5+10=15>>15 minutes Then triple that amount of time to find the tutorial time: 15 minutes * 3 = <<15*3=45>>45 minutes Then add that time to the install and downtime time to find the total time: 45 minutes + 15 minutes = <<45+15=60>>60 minutes #### 60

Grandma Olga has 3 daughters and 3 sons. If all her daughters each have 6 sons, and each of her sons has 5 daughters, how many grandchildren does she have in total?

From her daughters, Olga has 3 x 6 = <<3*6=18>>18 grandsons. From her sons, she has 3 x 5 = <<3*5=15>>15 granddaughters. Altogether, Olga has 18 + 15 = <<18+15=33>>33 grandchildren. #### 33

Jamie and Oliver are planning to go on a vacation. A plane ticket costs $24 for each person and a hotel stay costs $12 for each person per day. How much money will they spend on the vacation if they stay for 3 days?

Jamie and Oliver will spend $24 x 2 = $<<24*2=48>>48 for the plane ticket. They will spend $12 x 2 = $<<12*2=24>>24 for staying in the hotel per day. So, the total amount they will spend on the hotel for a 3-day stay is $24 x 3 = $<<24*3=72>>72. Therefore, the total amount they will spend on their vacation is $72 + $48 = $<<72+48=120>>120. #### 120

40 kids are running a race. 10% of them pass the finish line in less than 6 minutes. Three times that number finish in less than 8 minutes. 1/6 of the remaining kids take more than 14 minutes. How many kids take more than 14 minutes?

First find how many kids finish in under 6 minutes: 40 kids * 10% = <<40*10*.01=4>>4 kids Then triple that number to find how many finish in less than 8 minutes: 4 kids * 3 = <<4*3=12>>12 kids Then subtract those two numbers from the total number of kids to find the number of remaining kids: 40 kids - 4 kids - 12 kids = <<40-4-12=24>>24 kids Then divide that number by 6 to find how many kids take more than 14 minutes: 24 kids / 6 = <<24/6=4>>4 kids #### 4

Trevor is a comic book illustrator. In the past three months, he has drawn 220 pages of the comic. The comic he illustrates releases a new issue once a month. The first and second months’ issues were the same number of pages, but the third month’s issue was four pages longer than either of the others. How many pages was the first issue of the comic?

Let P be the number of pages of the first issue of the comic. The second issue is the same number of pages, so the first and second issues are P + P = 2P pages. The third issue is 4 pages longer, so it is P + 4 pages. All three issues are 2P + P + 4 = 3P + 4 = 220 pages long. Thus, 3P = 220 - 4 = 216 pages. Therefore, the first issue of the comic was P = 216 / 3 = <<216/3=72>>72 pages. #### 72

A local park has 70 pigeons that call the park home. Half of the pigeons are black, and 20 percent of the black pigeons are male. How many more black female pigeons are there than black male pigeons?

Black:70/2=<<70/2=35>>35 pigeons Black Male: 35(.20)=7 pigeons 35-7=<<35-7=28>>28 female black pigeon There are 28-7=<<28-7=21>>21 more black female pigeons #### 21

Zig wrote four times as many books as Flo. If Zig wrote 60 books, how many books did they write altogether?

If Zig wrote 60 books, four times as many books as Flo, Flo wrote 60/4=<<60/4=15>>15 books Together, they wrote 60+15=<<60+15=75>>75 books. #### 75

It takes 1 person working 10 hours to figure out the solution to a math problem. If you add a second person who's equally good at math, how long will the two of them have to work to solve the same problem?

Since you're doubling the number of people working on the task, that means you will be able to reduce the amount of time worked in half if they're of equal skill. Therefore, you take the original time of 10 hours and perform 10/2= <<10/2=5>>5 hours spent working on the problem. #### 5

A store puts out a product sample every Saturday. The last Saturday, the sample product came in boxes of 20. If they had to open 12 boxes, and they had five samples left over at the end of the day, how many customers tried a sample if the samples were limited to one per person?

The store opened 12 boxes of 20 products, so they put out 20 * 12 = <<20*12=240>>240 product samples. They had 5 samples left over, so 240 - 5 = <<240-5=235>>235 samples were used. Each customer could only have one sample, so 235 * 1 = <<235*1=235>>235 customers tried a sample. #### 235

A chocolate cake needs 3 eggs per cake. Cheesecake requires 8 eggs for each cheesecake. How many more eggs are needed for 9 cheesecakes than are needed for 5 chocolate cakes?

Eggs in cheesecakes = 8 * 9 = <<8*9=72>>72 Eggs in chocolate cake = 5 * 3 = <<5*3=15>>15 72 - 15 = <<72-15=57>>57 Nine cheesecakes need 57 more eggs than 5 chocolate cakes. #### 57

Aunt May milks her cows twice a day. This morning she got 365 gallons of milk. This evening she got 380 gallons. She sold 612 gallons to the local ice cream factory. She had 15 gallons left over from yesterday. How many gallons of milk does she have left?

Today Aunt May's cows gave her 365 gallons + 380 = <<365+380=745>>745 gallons of milk. She had 745 gallons - 612 gallons sold to the ice cream factory = <<745-612=133>>133 gallons of milk left. Combined with the leftover from yesterday, Aunt May has 133 gallons + 15 gallons = <<133+15=148>>148 gallons of milk. #### 148

Lydia has a small pool she uses to bathe her dogs. When full, the pool holds 60 gallons of water. She fills her pool using the garden hose, which provides water at the rate of 1.6 gallons per minute. Unfortunately, her pool has a small hole that leaks water at a rate of 0.1 gallons per minute. How long will it take for her to fill the pool, in minutes?

With a garden hose that fills at a rate of 1.6 gallons per minute, and a hole that leaks at 0.1 gallons per minute, the net fill rate becomes 1.6-0.1=<<1.6-0.1=1.5>>1.5 gallons per minute. Therefore, to fill a 60-gallon pool, it will take 60/1.5=<<60/1.5=40>>40 minutes. #### 40

A garden store sells packages of pumpkin seeds for $2.50, tomato seeds for $1.50, and chili pepper seeds for $0.90. Harry is planning to plant three different types of vegetables on his farm. How much will Harry have to spend if he wants to buy three packets of pumpkin seeds, four packets of tomato seeds, and five packets of chili pepper seeds?

The cost of three packets of pumpkin seeds is 3 x $2.50 = $<<3*2.5=7.50>>7.50. The cost of four packets of tomato seeds is 4 x $1.50 = $<<4*1.5=6>>6. And, the cost of five packets of chili pepper seeds is 5 x $0.90 = $4.50. Therefore, Harry will spend $7.50 + $6 + $4.50 = $<<7.5+6+4.5=18>>18. #### 18

The number of math problems that Marvin practiced today is three times as many as the number of problems he solved yesterday. His friend, Arvin, has practiced twice as many math problems on each day. How many math problems have they practiced altogether if Marvin solved 40 math problems yesterday?

If Marvin solved 40 math problems yesterday, he has solved 40*3 = <<40*3=120>>120 math problems today. The total number of math problems that Marvin has practiced is 120+40 = <<120+40=160>>160 Arvin has practiced twice as many as Marvin, so has practiced 160 * 2 = <<160*2=320>>320 problems. Together, Marvin and Arvin have solved 320+160 = <<320+160=480>>480 math problems. #### 480

Jenny's property tax rate is 2%. Her house is currently worth $400,000. The city is about to build a new high-speed rail project nearby, which will increase her house's value by 25%. Jenny can only afford to spend $15,000/year on property tax. How many dollars worth of improvements can she make to her house before her property tax bill gets too high?

First find how much the rail project will increase the house value by multiplying the initial value by 25%: $400,000 * .25 = $<<400000*.25=100000>>100,000 Then add that amount to the initial value to find the new value: $100,000 + $400,000 = $<<100000+400000=500000>>500,000 Then divide the maximum amount of property tax Jenny can afford to pay by the property tax rate to find the maximum value her house can have: $15,000 / .02 = $<<15000/.02=750000>>750,000 Now subtract the house's value after the rail project from the maximum value to find how much value the improvements can have: $750,000 - $500,000 = $<<750000-500000=250000>>250,000 #### 250000

Morgan goes to the drive-thru and orders his lunch. He gets a hamburger for $4, onion rings for $2 and a smoothie for $3. If he pays with a $20 bill, how much change does he receive?

Morgan’s lunch cost $4 + $2 + $3 = $<<4+2+3=9>>9. If he pays with a $20 bill, he will receive change of $20 - $9 = $<<20-9=11>>11. #### 11

Nancy has a bag containing 22 tortilla chips. She gives 7 tortilla chips to her brother and 5 tortilla chips to her sister, keeping the rest for herself. How many did Nancy keep for herself?

She gave away 7+5=<<7+5=12>>12 chips. Then she kept 22-12=<<22-12=10>>10. #### 10

Laura is hosting a carwash. She will charge $5 for a car, $6 for a truck, and $7 for an SUV. They raised $100 in total. If they washed 5 SUVs and 5 trucks, how many cars did they wash?

They earned $30 from trucks because 5 x 6 = <<5*6=30>>30 They earned $35 from SUVs because 5 x 7 = <<5*7=35>>35 They earned $35 from cars because 100 - 35 - 30 = <<100-35-30=35>>35 They washed 7 cars because 35 / 5 = <<35/5=7>>7 #### 7

At Theo’s cafe, he makes 3 egg and 4 egg omelettes. His cafe is open from 7:00 a.m. to 11:00 a.m. In the first hour, 5 customers order the 3 egg omelettes. In the second hour, 7 customers order the 4 egg omelettes. In the third hour, 3 customers order the 3 egg omelettes. In the last hour, 8 customers order the 4 egg omelettes. How many eggs does Theo need to make all the omelettes?

In the first and third hour, 5 + 3 = <<5+3=8>>8 customers order the 3 egg omelettes. In the second and last hour, 7 + 8 = <<7+8=15>>15 customers order the 4 egg omelettes. To make the 3 egg omelettes, Theo needs 3 x 8 = <<3*8=24>>24 eggs. To make the 4 egg omelettes, Theo needs 15 x 4 = <<15*4=60>>60 eggs. To make all the omelettes, he needs 24 + 60 = <<24+60=84>>84 eggs. #### 84

Daisy is climbing trees all around her neighborhood and starts to notice the number of branches and the height. The first tree she climbs is 50 feet tall and has 200 branches. The second tree she climbs is 40 feet tall and has 180 branches. The third tree she climbs is 60 feet tall and has 180 branches. The final tree she climbs is 34 feet tall and has 153 branches. On average, how many branches do these trees have per foot?

The first tree has 4 branches per foot because 200 / 50 = <<200/50=4>>4 The second tree tree has 4.5 branches per foot because 180 / 40 = <<180/40=4.5>>4.5 The third tree has 3 branches per foot because 180 / 60 = <<180/60=3>>3 The fourth tree has 4.5 branches per foot because 153 / 34 = <<153/34=4.5>>4.5 The total branches per foot is 16 because 4 + 4.5 + 3 + 4.5 = <<4+4.5+3+4.5=16>>16 The average branches per foot is 4 because 16 / 4 = <<16/4=4>>4 #### 4

Tom went to the store to buy fruit. Lemons cost $2, papayas cost $1, and mangos cost $4. For every 4 fruits that customers buy, the store offers a $1 discount. Tom buys 6 lemons, 4 papayas, and 2 mangos. How much will he pay?

For 6 lemons, Tom will pay 6 * 2 = $<<6*2=12>>12. For 3 papayas, he will pay 3 * 1 = $<<3*1=3>>3 For 2 mangos, he will pay 2 * 4 = $<<2*4=8>>8. In total, the cost of the fruits before discount is 12 + 4 + 8 = $<<12+4+8=24>>24. The total number of fruits is 6 + 4 + 2 = <<6+4+2=12>>12 fruits. For 12 fruits, Tom gets a discount of 12 / 4 = $<<12/4=3>>3. Subtracting the discount offered by the store, Tom will pay 24 - 3 = $<<24-3=21>>21. #### 21

Kiki likes to spend her money on hats and scarves. When she buys twice as many hats as scarves, she spends 60% of her money on hats and the rest on scarves. If she currently has $90, how many scarves will she buy if they are sold at $2 each?

Kiki spends 60/100*$90=$<<60/100*90=54>>54 of her money on hats. The amount she spends on buying scarves is $90-$54=$<<90-54=36>>36 If each scarf is sold at $2, Kiki will buy $36/$2=<<36/2=18>>18 scarves. #### 18

Jeff was driving to the capital city to attend a conference. At first, he was driving at 80 miles/hour for about 6 hours, then the speed limit changed and he had to slow down to 60 miles/hour, and so he drove at this speed for 4 hours. Then he made a stop at a gas station. Once the car was full of gas, he drove at 40 miles/hour the rest of the trip for 2 hours. How many miles did he travel?

In the first stretch he drove 80 miles/hour x 6 hours = <<80*6=480>>480 miles In the second stretch he drove 60 miles/hour x 4 hours = <<60*4=240>>240 miles After the gas station he drove 40 miles/hour x 2 hours = <<40*2=80>>80 miles In total he drove 480 miles + 240 miles + 80 miles = <<480+240+80=800>>800 miles #### 800

Henry has 30 more lollipops than Alison does. With 60 lollipops, Alisson has half the number of lollipops Diane has. If they combine the lollipops and eat 45 lollipops each day, calculate the total number of days it will take for them to finish the lollipops.

Since Henry has 30 more lollipops than Alison, he has 60+30= 90 lollipops. Together, Alison and Henry have 90+60 = <<90+60=150>>150 lollipops. Alison has half the number of lollipops that Diane has, meaning Diane has 2*60 = 120 lollipops. Altogether, the three have 120+150 = <<120+150=270>>270 lollipops. Since they eat 45 lollipops each day, they'll take 270/45=<<270/45=6>>6 days to finish all the lollipops. #### 6