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In January the families visiting a national park see animals 26 times. In February the families that visit the national park see animals three times as many as were seen there in January. Then in March the animals are shyer and the families who visit the national park see animals half as many times as they were seen in February. How many times total did families see an animal in the first three months of the year?
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Animals were seen 26 times in January and three times as much in February, 26 x 3 = <<26*3=78>>78 times animals were seen in February.
In March the animals were seen 1/2 as many times as were seen in February, 78 / 2 = <<78/2=39>>39 times animals were seen in March.
If animals were seen 26 times in January + 78 times in February + 39 times in March = <<26+78+39=143>>143 times animals were seen in the first three months of the year.
#### 143
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Michael scored 260 points during his junior year on the school basketball team. He scored 20% more points during his senior year. How many points did he score during both years?
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In his senior year, Michael scored 260 × 1.20 = <<260*1.20=312>>312 points.
In both his senior and junior years Michael scored 260 + 312 = <<260+312=572>>572 points.
#### 572
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Grant has worked as a freelance math worker for the last three months. The first month he made 350$. The second month he made 50$ more than double he made the first month. The third month he quadrupled the sum of the first two months. How much did Grant make in his first three months total?
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First Month:350$
Second Month:50+2(350)=750$
Third Month:4(350+750)=4400$
Total:350+750+4400=<<350+750+4400=5500>>5500$
#### 5500
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Josh and Anna were both born on August 17th, but in different years. To consolidate celebrations they also got married on August 17 when Josh turned 22. If today they're celebrating 30 years of marriage and their combined age is exactly 5 times what Josh's age was when they married, how old was Anna when they got married?
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We know that Josh must be 30 years older than his age when they got married, therefore he is 30 + 22 = <<30+22=52>>52 years old today
If their current combined age is 5 times the age Josh was when they married (22), then their total combined age is 5 * 22 = <<5*22=110>>110 years
That means that Anna must be 110 - 52 = <<110-52=58>>58 years old today
If they married 30 years ago, Anna must have been 58 - 30 = <<58-30=28>>28 years old when they married
#### 28
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It costs Molly $5 per package to send Christmas gifts to her relatives by mail. She has two parents and three brothers, and each of her brothers is married with 2 children each. If she sends one package to each relative by mail, how much does it cost her to send all of the gifts by mail to her relatives, in dollars?
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Molly has two parents and three brothers, which totals 2+3=<<2+3=5>>5 parents and siblings.
Since each brother is married with 2 children, then each brother has a family containing 1+2=<<1+2=3>>3 people.
Thus, the families of the three brothers contain an additional 3*3=<<3*3=9>>9 relatives.
In total, Molly has 5+9=<<5+9=14>>14 relatives.
At $5 per package, Molly will spend 14*$5=$<<14*5=70>>70 to mail the packages.
#### 70
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The number of coronavirus cases in a certain country was 300 infections per day during the first wave. However, the number of cases increased by four times more per day as a new coronavirus variant started infecting people in a second wave. What was the total number of infections during the second wave in 2 weeks?
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When the number of cases increased by four times more per day during the second wave, there were 4*300 = <<4*300=1200>>1200 more infections per day than during the first wave.
The total number of infections during the second wave per day was 1200+300=<<1200+300=1500>>1500
For two weeks with 14 days, the number of me infections was 14*1500=<<14*1500=21000>>21000
#### 21000
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An aquarium holds an equal number of clownfish and blowfish. 26 of the blowfish stay in their own tank, and the remaining blowfish swim into a display tank. An equal number of clownfish join the blowfish in the display tank, but then a third of these clownfish swim back into their own tank. If the aquarium holds a combined total of 100 fish, how many clownfish are now in the display tank?
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There is an equal number of clownfish and blowfish, which means there are 100 fish / 2 = <<100/2=50>>50 blowfish.
Since some stay in their tanks, there are 50 blowfish – 26 blowfish = <<50-26=24>>24 blowfish in the display tank.
There were the same amount of clownfish until 24 clownfish / 3 = <<24/3=8>>8 clownfish swam back to their own tank.
This leaves 24 clownfish – 8 clownfish = <<24-8=16>>16 clownfish in the display tank.
#### 16
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Mark realizes that a lot of the friends on his friends list are people he doesn't talk to anymore. He keeps 40% of his friends list and then contacts the rest. Of those only 50% respond. He removes everyone who did not respond. If he had 100 friends how many does he have left after the removal?
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He contacted 1-.4=<<1-.4=.6>>.6 of his friends
So he contacted 100*.6=<<100*.6=60>>60 people
So he removes 60/2=<<60/2=30>>30 people
So he has 100-30=<<100-30=70>>70 friends left
#### 70
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Alice had 10 dozens of watermelons. She sold 40% of it yesterday and 1/4 of the remaining today, How many watermelons are left to be sold tomorrow?
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Ten dozens of watermelons are equal to 10 x 12 = <<10*12=120>>120 watermelons.
Yesterday, Alice sold 120 x 40/100 = <<120*40/100=48>>48 watermelons.
So, there are only 120 - 48 = <<120-48=72>>72 watermelons left for today.
Today, Alice sold 72 x 1/4 = <<72*1/4=18>>18 watermelons.
Hence, 72 - 18 = <<72-18=54>>54 watermelons are left to be sold tomorrow.
#### 54
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Carter grew 9 plants with 3 seed packets. How many more seed packets does Carter need to have a total of 12 plants in his backyard?
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If he grows 9 plants with 3 seed packets, he grows 9/3=<<9/3=3>>3 plants with 1 seed packet.
Since 1 seed packet grows 3 plants, he'll need 1 more to make the plants 12.
#### 1
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Salem loves to write poems, and she always stores her poem in a creativity box kept safely in her home library. Last week, she created a poem with 20 stanzas. If each stanza has 10 lines, and each line has 8 words, calculate the total number of words in the poem.
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If each line that Salem created in her poem has 8 words, the total number of words in a stanza, which is 10 lines, is 8 words/line * 10 lines/stanza = <<8*10=80>>80 words/stanza
With 20 stanzas, each containing 80 words per stanza, the total is 80 words/stanza * 20 stanzas = <<80*20=1600>>1600 words in all the stanzas(poem)
#### 1600
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Mary has 3 times as much candy as Megan. Mary then adds 10 more pieces of candy to her collection. If Megan has 5 pieces of candy, how many does Mary have in total?
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Mary has 5*3=<<5*3=15>>15 pieces of candy.
She adds more, which brings her total to 15+10=<<15+10=25>>25 pieces of candy.
#### 25
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Jon buys 2 coffees a day from his favorite coffee shop. They cost $2 each. How much does he spend in April?
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He spends 2*$2=$<<2*2=4>>4 per day
April has 30 days so he spends $4*30=$<<4*30=120>>120
#### 120
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The difference between the ages of two friends is 2 years. The sum of their ages is 74 years. Find the age of the older friend.
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Let X be the age of the older friend.
The younger friend is X-2 years old.
So, the age of both is X + (X-2) = 74.
X + X = 74 + 2.
2 * X = 76.
Then, the older friend is X = <<38=38>>38 years old.
#### 38
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Nelly wants to buy pizza for herself and her 14 friends. Each pizza costs $12 and can feed 3 people. If Nelly earns $4 a night babysitting the neighbors' kids, how many nights will she have to babysit to afford the pizza?
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She needs to buy 15 / 3 = <<15/3=5>>5 pizzas.
The pizzas cost 5 * $12 = $<<5*12=60>>60 total.
It will take her $60 / $4 = <<60/4=15>>15 nights worth of babysitting to afford the pizza.
#### 15
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Ryan wants to take 5 peanut butter sandwiches to the beach. If each sandwich consists of 3 slices of bread how many slices does Ryan need to make 5 sandwiches?
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To make 1 sandwich, you need 3 slices so Ryan needs 1*3= <<1*3=3>>3 slices to make one sandwich.
Since it takes 3 slices to make a sandwich, and Ryan wants 5 sandwiches to take to the beach he needs 3*5= <<3*5=15>>15 slices.
#### 15
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Wally gives 3/4 of his 400 tickets to his two friends Jensen and Finley, who share the tickets in a ratio of 4:11. How many tickets does Finley get?
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Wally gives his friends 3/4*400 = <<3/4*400=300>>300 tickets to share.
The total ratio that represents the tickets that Jensen and Finley share is 4+11 = <<4+11=15>>15
From the total ratio, the fraction that represents the share that Finley got is 11/15, and since he shared with Jensen 300 tickets, he got 11/15*300 = <<11/15*300=220>>220 tickets
#### 220
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Martha is knitting winter clothes for her 3 grandchildren, who are all the same size (identical triplets.) Each set of clothes consists of a woolen hat, a scarf, a sweater, a pair of mittens, and a pair of wooly socks. She can knit a hat in 2 hours. A scarf takes her 3 hours. Each mitten takes her about an hour to knit. A sock takes an hour and a half. Each sweater takes her 6 hours. How long will it take her to knit all the outfits?
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A pair of mittens takes 1 hour per mitten * 2 mittens = <<1*2=2>>2 hours.
A pair of socks takes 1.5 hours per sock * 2 socks = <<1.5*2=3>>3 hours.
So a complete outfit for each child takes 2 hours per hat + 3 hours per scarf + 2 hours per pair of mittens + 3 hours per pair of socks + 6 hours per sweater = <<2+3+2+3+6=16>>16 hours per outfit.
So to knit winter outfits for all three of her grandchildren, Martha will take 3 outfits * 16 hours per outfit = <<3*16=48>>48 hours.
#### 48
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Carla is dividing up insurance claims among 3 agents. Missy can handle 15 more claims than John, who can handle 30% more claims than Jan. If Jan can handle 20 claims, how many claims can Missy handle?
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First find the additional number of claims John can handle: 30% * 20 claims = <<30*.01*20=6>>6 claims
Then add that amount to Jan's number of claims to find John's number of claims: 20 claims + 6 claims = <<20+6=26>>26 claims
Then add the 15 additional claims Missy can handle to find her number: 26 claims + 15 claims = <<15+26=41>>41 claims
#### 41
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Reginald is selling apples. He sells each apple for $1.25. He plans to use his profits to help repair his bike. His bike cost $80 and the repairs cost 25% of what his bike cost. After the repairs are paid for, 1/5 of the money he'd earned remains. How many apples did he sell?
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The bike repairs cost $20 because 80 x .25 = <<80*.25=20>>20
Call the amount he earns e. We know that e - 20 = 1/5e
Therefore 5e - 100 = e
Therefore, 4e = 100
Therefore, e = <<25=25>>25
Therefore, he sold 20 apples because 25 / 1.25 = <<25/1.25=20>>20
#### 20
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Randy just turned 12 and started playing the piano. His friend Sheila told him about the 10,000-hour rule which says, after 10,000 hours of practice, you become an expert or master in your field. If Randy wants to become a piano expert before he is 20, how many hours a day will he need to practice if he practices every day, Monday – Friday, and takes two weeks off for vacation each year?
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Randy has 20 – 12 = <<20-12=8>>8 years until he is 20.
He must practice 10,000 hours / 8 years = <<10000/8=1250>>1,250 hours a year to become an expert.
There are 52 weeks in a year – 2 weeks of vacation Randy plans to take = <<52-2=50>>50 weeks of practice for Randy.
Randy will practice Monday – Friday, which is 5 days a week, so 50 weeks x 5 days = <<50*5=250>>250 days of practice each year.
Randy will need to practice 1250 hours / 250 days = <<1250/250=5>>5 hours each day.
#### 5
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If 3 boys each make 12 muffins for a bake sale, and 2 other girls are making 20 muffins each, how many total muffins will be for sale?
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The boys baked a total of 3 x 12 = <<3*12=36>>36 muffins.
The girls baked a total of 2 x 20 = <<2*20=40>>40 muffins.
Hence, there are a total of 36 + 40 = <<36+40=76>>76 muffins that will be for sale.
#### 76
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Martha's cat catches 3 rats and 7 birds. Cara's cat catches 3 less than five times as many animals as Martha's cat. How many animals does Cara's cat catch?
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First find the total number of animals Martha's cat catches: 3 rats + 7 birds = <<3+7=10>>10 animals
Then multiply that number by 5: 10 animals * 5 = <<10*5=50>>50 animals
Then subtract 3 to find the total number of animals Cara's cat catches: 50 animals - 3 animals = <<50-3=47>>47 animals
#### 47
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Jason is climbing a telephone pole next to a tree his friend Matt is climbing. Matt can climb 6 feet/minute and Jason can climb 12 feet per minute. After 7 minutes, how much higher will Jason be than Matt?
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First find the distance Matt climbs in 7 minutes: 6 feet/minute * 7 minutes = <<6*7=42>>42 feet
Then find the distance Jason climbs in 7 minutes: 12 feet/minute * 7 minutes = <<12*7=84>>84 feet
Then subtract the distance Matt climbs from the distance Jason climbs to find the difference: 84 feet - 42 feet = <<84-42=42>>42 feet
#### 42
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Marj has two $20 bills, three $5 bills, and $4.50 in loose coins in her wallet. If she buys a cake that costs $17.50, how much money will be left in her wallet?
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Two $20 bills amount to $20 x 2 = $<<20*2=40>>40.
Three $5 bills amount to $5 x 3 = $<<5*3=15>>15.
So, Marj has $40 + $15 + $4.50 = $<<40+15+4.5=59.50>>59.50 in her wallet.
If she buys a cake, she will be left with $59.50 - $17.50 = $<<59.5-17.5=42>>42.
#### 42
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A jet travels 580 miles in 2 hours. At this rate, how far could the jet fly in 10 hours?
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In one hour the jet could travel 580 miles / 2 hours = <<580/2=290>>290 miles.
In 10 hours the jet could fly 290 miles * 10 = <<290*10=2900>>2900 miles.
#### 2900
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Ken had fifty pencils, and he wanted to share some of them with his two friends, Manny and Nilo. Ken gave ten pencils to Manny and ten more pencils to Nilo than he gave to Manny. He kept the rest of the pencils. How many pencils did Ken keep?
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Nilo received 10 + 10 = <<10+10=20>>20.
Thus, Ken gave a total of 10 + 20 = <<10+20=30>>30.
Therefore, Ken kept 50 - 30 = <<50-30=20>>20 pencils.
#### 20
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Karen is packing her backpack for a long-distance hike. She packs 20 pounds of water, 10 pounds of food, and 20 pounds of gear. During her hike, she drinks 2 pounds of water per hour and eats 1/3rd the weight of food per hour as water per hour. How much weight is she carrying after six hours?
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First find the weight of food Karen eats every hour: 2 pounds * 1/3 = 2/3 pounds food.
Then find the total amount of weight Karen's backpack loses per hour she hikes: 2 pounds water/hour + 2/3 pound food/hour = 8/3 pounds/hour.
Multiply this by the number of hours she hikes to find the total amount of weight she loses: 8/3 pounds/hour * 6 hours = <<8/3*6=16>>16 pounds.
Add the weight of all her items to find total starting weight: 20 pounds + 10 pounds + 20 pounds = <<20+10+20=50>>50 pounds.
Then subtract the weight she loses from the starting weight to find the weight after 6 hours: 50 pounds - 16 pounds = <<50-16=34>>34 pounds
#### 34
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A craft store makes a third of its sales in the fabric section, a quarter of its sales in the jewelry section, and the rest in the stationery section. They made 36 sales today. How many sales were in the stationery section?
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The craft store made 36 / 3 = <<36/3=12>>12 sales in the fabric section.
It made 36 / 4 = <<36/4=9>>9 sales in the jewelry section.
Thus, there were 36 - 12 - 9 = <<36-12-9=15>>15 sales in the stationery section.
#### 15
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Gretchen draws caricatures in the park on the weekends. She charges $20.00 per drawing. If she sold 24 on Saturday and 16 on Sunday, how much money did she make?
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She drew 24 on Saturday and 16 on Sunday for a total of 24+16 = <<24+16=40>>40 drawings
She charges $20.00 per drawing and she drew 40 caricatures so she made $20*40 = $<<20*40=800>>800
#### 800
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John climbs up 9 flights of stairs. Each flight is 10 feet. If each step is 18 inches, how many steps does he climb up?
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He has to climb 9*10=<<9*10=90>>90 feet
That means he needs to climb 90*12=<<90*12=1080>>1080 inches
That means he needs to climb 1080/18=<<1080/18=60>>60 stairs
#### 60
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For Halloween, Taquon, Mack and Jafari put their candy together and they had 418 pieces of candy. If Taquon and Mack each had 171 pieces of candy, how many pieces of candy did Jafari start with?
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Taquon + Mack = 2 * 171 = 342 pieces
418 - 342 = <<418-342=76>>76 pieces
Jafari started with 76 pieces of candy.
#### 76
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Three planes are going to the same place but each has a different number of passengers. The first plane has 50, the second had 60, and the third has 40. An empty plane can go 600 MPH, but each passenger makes it go 2 MPH slower. What is their average speed?
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The first plane goes 100 MPH slower than empty because 50 x 2 = <<50*2=100>>100
The first plane goes 500 MPH because 600 - 100 = <<600-100=500>>500
The second plane goes 120 MPH slower because 60 x 2 = <<60*2=120>>120
The second plane goes 480 because 600 - 120 = <<600-120=480>>480
The third plane goes 80 MPH slower because 40 x 2 = <<40*2=80>>80
The third plane goes 520 MPH because 600 - 80 = 520
The total speed is 1500 because 500 + 480 + 520 = <<500+480+520=1500>>1500
Their average speed is 500 because 1500 / 3 = <<1500/3=500>>500
#### 500
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There's a sale at your favorite "Any item $10" retailer. If you buy 1 shirt you pay $10. If you buy 2, you get the second one at a 50% discount. If you buy 3, you get the third one at a 60% discount. How much money did you save if you bought 3 shirts?
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The first shirt has no (0%) discount off the regular price ($10), therefore your discount is = 0% * $10 = $<<0*.01*10=0>>0
The second shirt has a 50% discount off the regular price ($10), therefore your discount is = 50% * $10 = $<<50*.01*10=5>>5
The third shirt has a 60% discount of the regular price ($10), therefore your discount is = 60% * $10 = $<<60*.01*10=6>>6
Therefore in total, you save $0 on the first shirt, $5 on the second one and $6 on the third one = 0+5+6 = $<<0+5+6=11>>11
#### 11
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An animal shelter is having a pet adoption event where owners can adopt an animal for just the cost of the vet fees. Vet fees for dogs are $15, and vet fees for cats are $13. Eight families adopt dogs and three adopt cats. The vet donates a third of the fees they were paid for the adoption checkups back to the shelter. How many dollars did the vet donate?
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The vet made 8 * 15 = $<<8*15=120>>120 in dog vet fees.
The vet made 3 * 13 = $<<3*13=39>>39 in cat vet fees.
The total vet fees were 120 + 39 = $<<120+39=159>>159.
The vet donated 1/3 of the fees, so they donated 159 / 3 = $<<159/3=53>>53 back to the shelter.
#### 53
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Blanch has 15 slices of pizza in the fridge. During breakfast, she eats 4 slices. At lunch, Blanch eats 2 slices, then takes two slices as a snack. Finally, she consumes 5 slices for dinner. How many slices of pizza are left?
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During breakfast, Blanch has 15 - 4 = <<15-4=11>>11 slices left.
At lunch, she still has 11 - 2 = <<11-2=9>>9 slices left.
After the snack, there are still 9 - 2 = <<9-2=7>>7 slices left.
Finally after dinner, Blanch has 7 - 5 = <<7-5=2>>2 slices left.
#### 2
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Noah has two closets. Each closet can fit 1/4 as much as Ali's closet, which can fit 200 pairs of jeans. How many jeans can both Noah’s closets fit?
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Each of Noah’s closets can fit 200 * 1/4 = <<200*1/4=50>>50 pairs of jeans.
Combined, both his closets can fit 50 * 2 = <<50*2=100>>100 pairs of jeans.
#### 100
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At a certain school, 2/3 of the population are females. One-tenth of the males are foreign students. If the school has 300 students, how many students are non-foreign male students?
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There are 300 x 2/3 = <<300*2/3=200>>200 females in the school.
So, 300 - 200 = <<300-200=100>>100 are males.
Out of the 100 males, 100 x 1/10 = <<100*1/10=10>>10 are male foreign students.
Thus, there are 100 - 10 = <<100-10=90>>90 non-foreign male students.
#### 90
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It is Roger’s turn to provide a snack for the baseball team after the game and he has decided to bring trail mix. The trail mix comes in packs of 6 individual pouches. Roger has 13 members on his baseball team, plus 3 coaches and 2 helpers. How many packs of trail mix does he need to buy?
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Roger will need 13 + 3 + 2 = <<13+3+2=18>>18 pouches of trail mix.
If you divide the amount of trail mix pouches by the amount in each pack, 18 / 6 = <<18/6=3>>3 packs of trail mix.
#### 3
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Dawn, Lydia, and Donna have a total of 200 bananas. Dawn has 40 more bananas than Lydia. If Lydia has 60 bananas, how many bananas does Donna have?
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If Lydia has 60 bananas, and Dawn has 40 more, then Dawn has 60+40 = <<60+40=100>>100 bananas.
The total number of bananas Dawn and Lydia have is 100+60 = <<100+60=160>>160 bananas.
Donna has 200-160 = <<200-160=40>>40 bananas.
#### 40
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Justin and Sabrina at Pine Grove Elementary have 50 pencils combined. Justin has 8 more than twice as many pencils as Sabrina. How many pencils does Sabrina have?
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Let's say Sabrina has p number of pencils.
If Justin has 8 more than twice as many pencils as Sabrina, he has 2*p + 8 = 2p+8
Together, Justin and Sabrina has p +(2p+8)=50
This is equal to 3p=50-8
3p=42
The number of pencils that Sabrina has is p=42/3
Sabrina has p=<<14=14>>14 pencils
#### 14
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Boris has 100 pieces of Halloween candy. His daughter eats 8 pieces of candy. He separates the remaining pieces of candy into equal portions into 4 different bowls. Then he takes away 3 pieces of candy from each bowl to keep for himself. How many pieces of candy are in one bowl?
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After his daughter eats some candy, Boris has 100 - 8 = <<100-8=92>>92 pieces of candy
In one bowl, there are 92 / 4 = <<92/4=23>>23 pieces of candy
After Boris takes some candy for himself, there are 23 - 3 = <<23-3=20>>20 pieces of candy in one bowl
#### 20
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Mark got a 5% raise at his job. Before the raise, he earned 40 dollars per hour. He works 8 hours per day for 5 days per week. His old bills used to be 600 dollars a week but he decided to add a hundred dollar a week personal trainer. How much does he have leftover a week?
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After the raise he earns 40*1.05=<<40*1.05=42>>42 dollars an hour
He works 8 hours per day so earns 42*8=<<8*42=336>>336 per day
He works 5 days per week so he earns 336*5=<<336*5=1680>>1680 a week
His expenses after adding the personal trainer are 600+100=<<600+100=700>>700 a week
So he has 1680-700=<<1680-700=980>>980 left over
#### 980
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Bob and Jim decide to skip rocks. Bob can skip a rock 12 times. Jim can skip a rock 15 times. If they each skipped 10 rocks how many total skips did they get?
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Bob got 12*10=<<12*10=120>>120 skips
Jim got 15*10=<<15*10=150>>150 skips
So in total they got 120+150=<<120+150=270>>270 skips
#### 270
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Marcel goes to the store with Dale to buy groceries for cooking dinner. Marcel buys 10 ears of corn, and Dale buys half that amount. Dale buys 8 potatoes and Marcel buys some, too. If they check out together and end up buying 27 vegetables, how many potatoes did Marcel buy?
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Marcel bought 10 ears of corn and Dale bought 1/2 what Marcel did, 10 x 1/2 = 10/2 = <<10*1/2=5>>5 ears of corn that Dale bought.
Together, Marcel and Dale bought 10 + 5 = <<10+5=15>>15 ears of corn, or 15 vegetables.
They end up buying 27 vegetables total, and from those 27, 15 of them were corn.
The rest of the vegetables are potatoes, 27 vegetables - 15 ears of corn = <<27-15=12>>12 potatoes.
Dale bought 8 potatoes, so Marcel bought 12 - 8 = <<12-8=4>>4 potatoes.
#### 4
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John's weight bench can support 1000 pounds. He wants to make sure to stay 20% under that weight for safety. If he weighs 250 pounds how much weight can he put on the bar?
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He wants to stay 1000*.2=<<1000*.2=200>>200 pounds under the max
So he wants to stay under 1000-200=<<1000-200=800>>800 pounds
That means he can put 800-250=<<800-250=550>>550 pounds on the bar
#### 550
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A bushel of corn weighs 56 pounds and each individual ear of corn weighs .5 pounds. If Clyde picked 2 bushels of corn over the weekend, how many individual corn cobs did he pick?
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He picked 2 bushels of corn and each bushel weighs 56 pounds so he picked 2*56 = <<2*56=112>>112 pounds of corn
Each ear of corn weighs .5 pounds and he has 112 pounds of corn so he picked 112/.5 = <<112/.5=224>>224 ears of corn
#### 224
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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?
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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
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Jeremy loves to play Scrabble. He once played a three-letter word on a triple word score to earn thirty points. If before the word score was tripled, the first and third letters were each valued at one point apiece, how much was the middle letter valued at before the word score was tripled?
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Since the word score after being tripled was 30 points, then the word score before tripling was 30/3=<<30/3=10>>10 points.
If before the word score was tripled, the first and third letters were each valued at one point apiece, then the value of the middle letter was 10-1-1=<<10-1-1=8>>8 points.
#### 8
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James gets a fleet of gas transportation vans. He gets 6 vans. 2 of them are 8000 gallons. 1 of them is 30% less than that. The remaining trucks are 50% larger than the 2 trucks. How many gallons can he transport?
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His smaller truck is 8000*.3=<<8000*.3=2400>>2400 gallons smaller
So it can transport 8000-2400=<<8000-2400=5600>>5600 gallons
There are 6-2-1=<<6-2-1=3>>3 of the very large trucks
Those trucks are each 8000*.5=<<8000*.5=4000>>4000 gallons larger
So they can transport 8000+4000=<<8000+4000=12000>>12000 gallons
So in total they transport 3*12000=<<3*12000=36000>>36000
The 8000-gallon trucks can transport 8000*2=<<8000*2=16000>>16000 gallons
So in total he can transport 5600+16000+36000=<<5600+16000+36000=57600>>57600 gallons
#### 57600
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John decides to go back to school to get his PhD. He first takes 1 year of courses to get acclimated back to school life before starting his PhD. After that, he spends 2 years learning the basics of his field. He then starts research, and he spends 75% more time on research than he did learning the basics. He then spends half as long on writing his dissertation as his acclimation period. How long did it take him to do everything?
|
It took him 2*.75=<<2*.75=1.5>>1.5 years longer to do his research than it took to learn the basics
So it took him a total of 2+1.5=<<2+1.5=3.5>>3.5 years to do research
His dissertation took 1/2 = <<1/2=.5>>.5 years to write
So everything together took 1+2+3.5+.5=<<1+2+3.5+.5=7>>7 years
#### 7
|
Ali and Sara ate 80 small apples combined. Ali ate 4 times more apples than Sara. How many apples did Sara eat?
|
Let A be the number of apples Ali ate and S be the number of apples Sara ate.
We have: A + S = 80 apples
And: A = <<4=4>>4S
Which means: 4S + S = 80
So: 5S = 80
So the number of apples Sara ate is: S = 80 / 5= <<80/5=16>>16 apples
#### 16
|
Tom goes to a combined undergrad and Ph.D. program. It takes 3 years to finish the BS and 5 years to finish the Ph.D. Tom finishes it in 3/4ths the time. How long does it take for him to finish?
|
The program normally takes 3+5=<<3+5=8>>8 years
So he manages to finish in 8*3/4=<<8*3/4=6>>6 years
#### 6
|
Martin is casting three bells for the church's belfry. The first bell takes 50 pounds of bronze, the second bell is twice the size of the first bell, and the third bell is four times the size of the second bell. How much bronze does he need total?
|
First find the size of the second bell: 50 pounds * 2 = <<50*2=100>>100 pounds
Then find the size of the third bell: 100 pounds * 4 = <<100*4=400>>400 pounds
Then add the amount of bronze used for each bell to find the total: 100 pounds + 400 pounds + 50 pounds = <<100+400+50=550>>550 pounds
#### 550
|
Susan, Arthur, Tom and, Bob are siblings. Arthur is 2 years older than Susan, and Tom is 3 years younger than Bob. If Bob is 11 years old, and Susan is 15 years old, how old are all four family members in total?
|
Arthur is 2 years older than Susan, so he is 15 + 2 = <<15+2=17>>17 years old.
Bob is 11 years old, so Tom is 11 - 3 = <<11-3=8>>8 years old.
So in total these four family members have 11 + 15 + 17 + 8 = <<11+15+17+8=51>>51 years.
#### 51
|
When it rains, the three holes in the garage roof leak water at different rates. The largest hole leaks at a rate of 3 ounces of water per minute. The medium-sized hole leaks water at one-half the rate of the largest hole. And the smallest hole leaks water at a rate of one-third the rate of the medium-sized hole. When it rains, what is the combined amount of water, in ounces, that leak from all three holes over a 2-hour time period?
|
The medium-sized hole leaks at a rate of one-half that of the largest hole, or 3/2=<<3/2=1.5>>1.5 ounces per minute.
The small-sized hole leaks at a rate of one-third that of the medium-sized hole, or 1.5/3=<<1.5/3=0.5>>0.5 ounces per minute.
Combined, the three holes leak at a rate of 3+1.5+0.5=<<3+1.5+0.5=5>>5 ounces per minute.
Since one hour is 60 minutes, two hours is 2*60=<<2*60=120>>120 minutes.
In total, over the two hours, the three holes will leak a combined 120*5=<<120*5=600>>600 ounces of water.
#### 600
|
For every 1 minute that Carlotta sings on stage during the final opera performance, she spends an additional 3 minutes practicing and 5 minutes throwing temper tantrums. If her final stage performance is 6 minutes long, what is the total combined amount of time, in minutes, that she spends practicing, throwing tantrums, and singing in the final stage performance?
|
For each 6 minutes she performs, Carlotta spends 6 * 3 minutes = <<6*3=18>>18 minutes practicing.
For each 6 minutes she performs, Carlotta throws tantrums for 6 * 5 minutes = <<6*5=30>>30 minutes.
Thus, in total, for each 6 minutes of performance time, she spends 18 minutes + 30 minutes + 6 minutes = 54 minutes on all three activities.
#### 54
|
It takes 50 large jelly beans to fill up a large drinking glass. It takes half that amount to fill up a small drinking glass. If there are 5 large drinking glasses and 3 small ones, how many jellybeans will it take to fill them up?
|
A small drinking glass takes half the amount of a large glass that needs 50 so it will take 50/2 = <<50/2=25>>25 jellybeans
5 large glasses need to be filled so they will take 5*50 = <<5*50=250>>250 jelly beans
There are 3 small glasses that need to be filled so they will take 3*25 = <<3*25=75>>75 jelly beans
All total, to fill all the glasses it will take 250+75 = <<250+75=325>>325 jellybeans
#### 325
|
There are 30 fish in the tank. One third of them are blue, and half of the blue fish have spots. How many fish in the tank are blue, spotted fish?
|
There are 30/3=<<30/3=10>>10 blue fish.
There are 10/2=<<10/2=5>>5 blue spotted fish.
#### 5
|
Andy is mixing blue, green and white paint in a 1 : 2 : 5 ratio. If he uses 6 gallons of green paint, how many gallons of paint does he use total?
|
First find the number of gallons of blue paint by multiplying the gallons of green paint by the ratio between the blue and green paint: 1 blue gallon/2 green gallons * 6 gallons = 3 gallons
Then find the number of gallons of white paint by multiplying the gallons of green paint by the ratio between the white and green paint: 5 white gallons/2 green gallons * 6 gallons = 15 gallons
Then add the number of gallons of each color to find the total number of gallons of paint: 6 gallons + 3 gallons + 15 gallons = <<6+3+15=24>>24 gallons
#### 24
|
Trish likes to go for walks every day. One day, she goes on a 1-mile walk. Every subsequent day, she doubles the distance she walked the previous day. On what day does she walk more than 10 times further than she did on the first day?
|
Trish walks 1 mile on the first day, and since she walks double the previous day's amount each day that means she walks 1*2=<<1*2=2>>2 miles the second day.
On the following day, she walks double the distance of the previous day's total of 2 miles, meaning she walks 2*2=<<2*2=4>>4 miles that day.
On the following day, she walks double the distance of the previous day's total of 4 miles, meaning she walks 4*2=<<4*2=8>>8 miles that day.
On the following day, she walks double the distance of the previous day's total of 8 miles, meaning she walks 8*2=<<8*2=16>>16 miles that day.
As we're looking for the first day that her distance exceeds 10 times her original total, that means we're seeking a mile total of greater than or equal to 10*1= <<10*1=10>>10 miles,
Since she accomplished this on the 5th day of walking, the answer is <<5=5>>5.
#### 5
|
Mr. Isaac rides his bicycle at the rate of 10 miles per hour for 30 minutes. If he rides for another 15 miles, rests for 30 minutes, and then covers the remaining distance of 20 miles, what's the total time in minutes took to travel the whole journey?
|
If in one hour he covers 10 miles and rides for 15 miles at the rate of 10 miles per hour, then the time taken for the 15 miles will be 15/10 = <<15/10=1.5>>1.5 hours.
The time in minutes is 1.5 * 60 = <<1.5*60=90>>90 minutes.
The time taken for the remaining 20 miles at a rate of 10 miles per hour is 20/10= <<20/10=2>>2 hours.
The time in minutes is 2*60 = <<2*60=120>>120 minutes.
The total time taken for the whole journey is the first 30 minutes + 90 + 30 minutes for resting +120 minutes = <<30+90+30+120=270>>270 minutes.
#### 270
|
The teacher divided the students into four groups. One group had 5 students, another 8 students, and the third 7 students. If there were 24 total students, how many students were in the fourth group?
|
There are 5+8+7=<<5+8+7=20>>20 students in the first three groups.
There are 24-20=<<24-20=4>>4 students in the fourth group.
#### 4
|
A small pizza can gives 4 slices, and a large pizza gives 8 slices. George purchased 3 small and 2 large pizzas. George would like to eat 3 pieces. His friend Bob would like to eat one more piece than George. Susie will eat half as many as Bob. Bill, Fred and Mark would each like 3 pieces. How many slices of pizza will be left over?
|
George has 3 small pizzas * 4 slices = <<3*4=12>>12 pieces.
George also has 2 large pizzas * 8 slices = <<2*8=16>>16 slices.
Total, George has 12 + 16 slices = <<12+16=28>>28 slices of pizza.
Bob will eat 3 slices + 1 = <<3+1=4>>4 slices.
Susie will eat 1/2 * 4 slices = <<1/2*4=2>>2 slices.
Bob, Fred and Mark will eat in total 3 + 3 + 3 = <<3+3+3=9>>9 pieces.
Total slices of pizza eaten will be 3 + 4 + 2 + 9 = <<3+4+2+9=18>>18 pieces.
Total pizza slices remaining will be 28 pieces - 18 = <<28-18=10>>10 slices left.
#### 10
|
A new edition Geometry book has 450 pages which are 230 pages less than twice as many pages as the old edition. How many pages did the old edition Geometry book have?
|
Let x be the number of pages of the old edition Geometry book
The new edition Geometry book has 2x - 230 = 450 pages
2x = 450 + 230
2x = 680
x = <<340=340>>340 pages
#### 340
|
There are 516 cars in a parking lot. One-third are blue, one-half are red, and the rest are black. How many black cars are on the lot?
|
Blue = 516 * (1/3) = <<516*(1/3)=172>>172 cars
Red = 516 * (1/2) = <<516*(1/2)=258>>258
Black = 516 - (172 + 258) = 86
There are 86 black cars on the lot.
#### 86
|
Homer scored 400 points on the first try in a Candy crush game, 70 points fewer on the second try, and twice the number of points she scored on the second try on the third try. What's the total number of points that she scored in all tries?
|
If Homer scored 400 points on the first try, he scored 400-70 = <<400-70=330>>330 points on the second try.
The total number of points that Homer scored in the game after two tries are 400+330 = <<400+330=730>>730
On the third try of the Candy crush game, Homer scored twice the number of points she scored on the second try, a total of 2*330 = <<660=660>>660 points.
In all the tries of the game, Homer scored 660+730 = <<660+730=1390>>1390 points.
#### 1390
|
5/8 of shoppers at All Goods Available store prefer to avoid the check-out line on weekends and instead go through the express lane. If the number of shoppers in the store is 480, calculate the number of shoppers who pay at the check-out lane.
|
At the store, 5/8 of shoppers prefer to avoid the check-out line, a total of 5/8*480 = <<5/8*480=300>>300
The total number of shoppers at the store is 480; those who prefer the check-out line is 480-300 = <<480-300=180>>180
#### 180
|
Every morning, Carla puts 79 apples in her backpack to eat for lunch. Unfortunately, Buffy stole some of Carla's apples on the school bus, and 26 apples fell out of a hole on the bottom. So at lunchtime, Carla only had 8 apples remaining. How many apples did Buffy steal from Carla?
|
Let B be the number of apples that Buffy stole. Then 79 - B - 26 = 8.
Combining constants produces 53 - B = 8.
Adding B to both sides produces 52 = B + 8
Thus the number of apples stolen by Buffy is B = 53 - 8 = <<53-8=45>>45.
#### 45
|
A swarm of ants discovered a pile of sugar that spilled from a dropped bag. They begin to harvest it and carry it off to their anthill. Every hour, the ants remove 4 ounces of sugar. The bag of sugar held 24 ounces before it was dropped. After three hours, how many more hours will the ants need to harvest the remaining sugar?
|
After 3 hours, the ants have removed 4 * 3 = <<4*3=12>>12 ounces of sugar.
There are 24 - 12 = <<24-12=12>>12 ounces of sugar left.
Thus, the ants need 12 / 4 = <<12/4=3>>3 more hours to harvest the remaining sugar.
#### 3
|
When Spencer jumps rope, he jumps 4 times per minute. He jumps for 10 minutes each session and does 2 sessions each day. How many jumps will Spencer do in 5 days?
|
In 1 session he jumps 4 times/minute * 10 minutes = <<4*10=40>>40 times
In 5 days he does 2 sessions/day * 5 days = <<2*5=10>>10 sessions
He jumps 10 sessions * 40 times/session = <<10*40=400>>400 times in 5 days.
#### 400
|
James buys 3 CDs. Two of them are 1.5 hours each. The last one is twice that long. What is the combined length of the CDs?
|
The long CD is 1.5*2=<<1.5*2=3>>3 hours
The two shorter CDs have a combined length of 1.5*2=<<1.5*2=3>>3 hours
So in total the CDs had a length of 3+3= <<3+3=6>>6 hours
#### 6
|
Leo had 400 marbles in a jar. He packed the marbles with ten marbles in each pack, and he gave some of them to his two friends, Manny and Neil. He gave Manny 1/4 of the number of packs of marbles, Neil received 1/8 of the number of packs of marbles, and he kept the rest. How many packs of marbles did Leo keep?
|
Leo had 400/10 = <<400/10=40>>40 packs of marbles.
He gave Manny 1/4 x 40 = <<1/4*40=10>>10 packs of marbles.
And, Neil received 1/8 x 40 = <<1/8*40=5>>5 packs of marbles.
Thus, Leo. gave a total of 10 + 5 = <<10+5=15>>15 packs of marbles.
Therefore, Leo kept 40 - 15 = <<40-15=25>>25 packs of marbles.
#### 25
|
Jenna sets a goal of reading 600 pages a month for the month of September (which has 30 days). She knows that she'll be really busy at work the four weekdays starting on the 13th, so she won't have time to read. She can also read 100 pages on the 23rd, when she'll have a long boring flight. If she reads the same number of pages every other day, how many pages a day does she need to read?
|
First, subtract the number of days Jenna can't read from the number of days in September: 30 days - 4 days = <<30-4=26>>26 days.
Then subtract the one day when Jenna will read 100 pages: 26 days - 1 day = <<26-1=25>>25 days.
Now subtract the 100 pages Jenna will read on her flight from her overall goal: 600 pages - 100 pages = <<600-100=500>>500 pages.
Finally, divide that number of pages by the number of days Jenna will read the standard amount: 500 pages / 25 days = <<500/25=20>>20 pages per day.
#### 20
|
Yoque borrowed money from her sister. She promised to pay it back in 11 months including an additional 10% of the money she borrowed. If she pays $15 per month, how much money did she borrow?
|
In 11 months, Yoque will pay a total of $15 x 11 = $<<15*11=165>>165.
The amount $165 is 100% + 10% = 110% of the money she borrowed.
So, 1% is equal to $165/110 = $<<165/110=1.50>>1.50.
Hence, Yoque borrowed $1.50 x 100 = $<<1.50*100=150>>150.
#### 150
|
Tom has a quarter as much money as Nataly. Nataly has three times as much money as Raquel. How much money do Tom, Raquel, and Nataly have combined if Raquel has $40?
|
If Nataly has 3 times as much money as Raquel, she has 3 * $40 = $<<3*40=120>>120
Tom has 1/4 as much money as Nataly, so he has 1/4 * $120 = $<<1/4*120=30>>30
Combined, the three have $30 + $120 + $40 = $<<30+120+40=190>>190
#### 190
|
There are 28 students in a class. Two-sevenths of them were absent last Monday. How many students were present last Monday?
|
28 x 2/7 = <<28*2/7=8>>8 students were absent last Monday.
So, 28 - 8 = <<28-8=20>>20 students were present last Monday.
#### 20
|
A farmer harvested 250 potatoes. He bundled them in twenty-five's and sold each bundle for $1.90. He also harvested 320 carrots and bundled them in twenty's and sold each bundle for $2. If the farmer sold all his harvested crops, how much did he get in all?
|
There are 250/25 = <<250/25=10>>10 bundles of potatoes.
So, 20 bundles of potatoes amount to $1.9 x 10 = $19.
There are 320/20 = <<320/20=16>>16 bundles of carrots.
So, 16 bundles of carrots amount to $2 x 16 = $<<2*16=32>>32.
Hence, the farmer got $19 + $32 = $<<19+32=51>>51 in all.
#### 51
|
Ivar owns a stable. He recently has 3 horses and each horse consumes 5 liters of water for drinking and 2 liters for bathing per day. If he added 5 horses, how many liters of water does Ivar need for all the horses for 28 days?
|
The total horse he owns is 5+3= <<5+3=8>>8.
The total liters of water each horse consumes is 5 + 2= <<5+2=7>>7.
So, the total water all the horses consume every day is 7 x 8 = <<7*8=56>>56.
And the total of liters of water they consume every week is 56 x 7 = <<56*7=392>>392.
Therefore, the total liters of water they consume for the entire month is 392 x 4= <<392*4=1568>>1568.
#### 1568
|
Michael has $42. His brother has $17. Michael gives away half the money to his brother. His brother then buys 3 dollars worth of candy. How much money, in dollars, did his brother have in the end?
|
Michael gives away 42/2=<<42/2=21>>21 dollars.
His brother then has 21+17=<<21+17=38>>38 dollars.
In the end, his brother has 38-3=<<38-3=35>>35 dollars.
#### 35
|
I bought a TV for $1700 excluding tax. What is the price of the television when calculating 15% of the value-added tax?
|
The value-added tax is 1700*15% = <<1700*15*.01=255>>255.
The price of the television including tax 1700+255 = $<<1700+255=1955>>1955.
#### 1955
|
Jade is building a lego tower. She has 100 pieces. Each level has to be 7 pieces wide. If she has 23 pieces left at the end, how many levels is her tower?
|
She used 77 legos because 100 - 23 = <<100-23=77>>77
She made 11 levels because 77 / 7 = <<77/7=11>>11
#### 11
|
Hannah has three dogs. The first dog eats 1.5 cups of dog food a day. The second dog eats twice as much while the third dog eats 2.5 cups more than the second dog. How many cups of dog food should Hannah prepare in a day for her three dogs?
|
The second dog eats 1.5 x 2 = <<1.5*2=3>>3 cups of dog food.
The third dog eats 3 + 2.5 = <<3+2.5=5.5>>5.5 cups.
So, Hannah should prepare 1.5 + 3 + 5.5 = <<1.5+3+5.5=10>>10 cups.
#### 10
|
Jan buys 5 dozen roses. Each rose cost $6. Since he bought so many he only needs to pay 80%. How much did he pay?
|
He got 5*12=<<5*12=60>>60 roses
So the cost was 6*60=$<<6*60=360>>360
So he has to pay 360*.8=$<<360*.8=288>>288
#### 288
|
Brenda picks 250 peaches. When she sorts through them, only 60% are fresh, and Brenda has to throw 15 away for being too small. How many peaches does Brenda have left?
|
First find how many of the peaches are fresh, which is 250 peaches * 60% = <<250*60*.01=150>>150 peaches.
Then, subtract the number Brenda throws away after the fresh count, which is 150 peaches - 15 peaches = <<150-15=135>>135 peaches.
#### 135
|
Onum Lake has 25 more trout than Boast Pool. There are 75 fish in Boast Pool. Riddle Pond has half as many fish as Onum Lake. What is the average number of fish in all three bodies of water?
|
Onum lake has 25 trout + 75 = <<25+75=100>>100 fish.
Riddle Pond has 1/2 * 100 fish in Onum lake = <<1/2*100=50>>50 fish.
Combined the three bodies of water have 100 fish + 50 fish + 75 fish = <<100+50+75=225>>225 fish.
The average number of fish in the bodies of water is 225 fish / 3 = <<225/3=75>>75 fish.
#### 75
|
Javier is having an eating contest with his brother. It's ravioli night and there is meat ravioli, pumpkin ravioli, and cheese ravioli. The meat ravioli weighs 1.5 ounces each. The pumpkin ravioli is 1.25 ounces each. The cheese ravioli is one ounce. Javier eats 5 meat ravioli, 2 pumpkin ravioli, and 4 cheese ravioli. His brother just ate pumpkin ravioli and had 12 of them. What is the total amount of ounces eaten by the winner?
|
Javier ate 7.5 ounces of meat ravioli because 5 x 1.5 = <<7.5=7.5>>7.5
He ate 2.5 ounces of pumpkin ravioli because 2 x 1.25 = <<2*1.25=2.5>>2.5
He ate 4 ounces of cheese ravioli because 4 x 1 = <<4*1=4>>4
Javier ate 14 ounces in total because 7.5 + 2.5 + 4 = <<7.5+2.5+4=14>>14
His brother ate 15 ounces of pumpkin ravioli because 12 x 1.25 = 15
The winner ate 15 ounces in total because 15 > 14
#### 15
|
We harvested 405 kg of apples. 90 kg were used to make fruit juice and 60 kg were given to a restaurant. The rest was sold in 5 kg bags and their sale brought in $408. What was the selling price of one bag of apples?
|
The weight of apples used for juice and given to the restaurant is 60 + 90 = <<60+90=150>>150 kg
Thus 405 – 150 = 255kg worth of apples were sold in 5 kg bags.
There were 255 / 5 = <<255/5=51>>51 bags sold.
So each bag was sold for 408 / 51 = $<<408/51=8>>8
#### 8
|
A class has 60 students. The number of students who bring their lunch is thrice the number of those who eat in the school cafeteria. The rest of the students don't eat lunch. If 10 students eat in the school cafeteria, how many don't eat lunch?
|
Multiplying the number of students eating at the cafeteria by three means that 3 * 10 = <<3*10=30>>30 students bring lunch.
The total number of students that eat lunch is 10 + 30 = <<10+30=40>>40 students
Since the class has 60 students, those who don't eat lunch are 60-40 = <<60-40=20>>20 students.
#### 20
|
Janice opened an art book that she had found in the library and found 5 drawings on the first page. After opening the first ten pages, she realized that the number of drawings on each page increased by five after every page. How many drawings were in the first five pages?
|
If the first page had 5 drawings, and the number of drawings on each page increased by five, the second page had 5+5 = <<5+5=10>>10
The total number of drawings in the first 2 pages is 5+10 = <<5+10=15>>15
On the third page, the number of drawings increased to 10+5 = <<10+5=15>>15
The first three pages have a total of 15+15 = <<15+15=30>>30 drawings.
The fourth page had 15+5 = <<15+5=20>>20 drawings.
There are 30+20 = <<30+20=50>>50 drawings on the first four pages.
The fifth page also had an extra 5 more drawings than the fourth page, totaling 20+5 = <<20+5=25>>25
For the first five pages, Janice saw 25+50 = <<25+50=75>>75 pages.
#### 75
|
Ruiz receives a monthly salary of $500. If he received a 6% raise, how much will be Ruiz's new salary?
|
Ruiz has $500 x 6/100 = $<<500*6/100=30>>30 salary raise.
Thus, his new salary is $500 + $30 = $<<500+30=530>>530.
#### 530
|
A tomato plant has 100 tomatoes. Jane picks 1/4 of that number for use in their house. After a week, she goes back and picks 20 more tomatoes, and the following week picks twice that number. What's the total number of fruits remaining on the tomato plant?
|
When she picks 1/4 of the number of tomatoes, she goes home with 1/4*100 = <<1/4*100=25>>25 tomatoes.
The total number of tomatoes remaining will be 100-25 = <<100-25=75>>75 tomatoes.
After picking 20 more tomatoes the following week, the number of tomatoes remaining is 75-20 = <<75-20=55>>55 tomatoes.
The next week she picks twice the number she picked the previous week, that is 20*2 = <<20*2=40>>40 tomatoes.
The total number of tomatoes remaining after the final picking is 55-40 = <<55-40=15>>15 tomatoes.
#### 15
|
Danielle bought a new house for $280k. She paid a $40k deposit on the house, and pays the rest using a mortgage that is spread out over 10 years. Danielle makes equal payments every month and at the end of the 10 years, the entire balance will be paid off. How much, in thousands of dollars, does Danielle pay each month?
|
After paying the deposit, Danielle still has to pay a total of $280k purchase price - $40k deposit = $<<280-40=240>>240k via her mortgage.
As the mortgage is over 10 years, Danielle’s payments need to total $240k mortgage balance / 10 years = $<<240/10=24>>24k per year.
So each month, Danielle has to pay $24k per year / 12 months in a year = $2k per month.
#### 2
|
James buys a weight vest for $250. He then buys 200 pounds of weight plates for $1.2 per pound. A 200-pound weight vest would cost $700 but there is a $100 discount. How much does he save with his vest?
|
The weight plates cost 200*1.2=$<<200*1.2=240>>240
So his vest cost 250+240=$<<250+240=490>>490
He could get the other vest for 700-100=$<<700-100=600>>600
So he saved 600-490=$<<600-490=110>>110
#### 110
|
Dan owns an ice cream shop and every sixth customer gets a free ice cream cone. Cones cost $2 each. If he sold $100 worth of cones, how many free ones did he give away?
|
He sold 50 cones because 100 / 2 = <<100/2=50>>50
He gave away 10 cones because 50 / 5 = <<50/5=10>>10
#### 10
|
Emma's bank account has $100 in it. Each day of the week, she spends $8. At the end of the week, she goes to the bank and asks for as many $5 bills as her account can give her. She leaves the rest in the account. How many dollars remain in the account?
|
She spend $56 because 7 x 8 = <<7*8=56>>56
She has $44 left in the bank because 100 - 56 = <<100-56=44>>44
She can get 8 five dollar bills because 44 / 5 = <<44/5=8.8>>8.8
This is equal to $40 because 8 x 5 = <<8*5=40>>40
She has $4 left in the account because 44 - 40 = <<44-40=4>>4
#### 4
|
There are 10 cars parked in a mall’s parking lot, each with the same number of customers inside. Each customer only makes 1 purchase. If the sports store makes 20 sales and the music store makes 30 sales, how many customers are in each of the cars?
|
As each sale represents a customer, there must be a total of 20 sports store sales + 30 music store sales = <<20+30=50>>50 customers.
There is an equal number of customers in every car, so there must be 50 total customers / 10 cars = <<50/10=5>>5 customers in each car.
#### 5
|
Dennis collected 10 rocks. He put all of them in his aquarium but his fish ate half of them. He was able to make the fish spit two out. How many of Dennis's rocks are left?
|
Dennis had 10/2=<<10/2=5>>5 rocks left after the fish ate them.
He made the fish spit two out, which left Dennis with 5+2=<<5+2=7>>7 rocks.
#### 7
|
Bill is trying to count the toddlers at his daycare, but they keep running around. He double-counts 8 toddlers and misses 3 who are hiding. If Bill thinks he counted 26 toddlers, how many are there really?
|
First subtract the 8 toddlers Bill double-counted from his count: 26 toddlers - 8 toddlers = <<26-8=18>>18 toddlers
Then add the 3 toddlers he missed to find the real count: 18 toddlers + 3 toddlers = <<18+3=21>>21 toddlers
#### 21
|
Sabina is starting her first year of college that costs $30,000. She has saved $10,000 for her first year. She was awarded a grant that will cover 40% of the remainder of her tuition. How much will Sabina need to apply for to receive a loan that will cover her tuition?
|
The remainder of Sabina’s tuition bill comes to $30,000 - $10,000 = $<<30000-10000=20000>>20,000.
The grant will cover $20,000 * 0.40 = $<<20000*0.40=8000>>8,000 of her tuition.
That means that Sabina will need to apply for a loan of $20,000 - $8,000 = $<<20000-8000=12000>>12,000 to pay for the rest of her tuition.
#### 12000
|
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