Two friends are racing three miles. The first one runs it in 21 minutes. The second one runs it in 24 minutes. If they keep up the same pace, how long combined will it take for them to run 5 miles each?

How many minutes does the first one run in? ** The first one runs a mile in 7 minutes because 21 / 3 =

<<21/3=7>>7 How many minutes does the second one run in? ** The second runs a mile in 8 minutes because 24 / 3 = <<24/3=8>>8 How many minutes would the first one take to finish 5 miles? ** The first one would finish 5 miles in 35 minutes because 5 x 7 = <<5*7=35>>35 How many minutes would the second one take to finish 5 miles? ** The second one would finish in 40 minutes because 5 x 8 = <<5*8=40>>40 How many minutes will it take in total? ** It will take 75 minutes in total because 35 + 40 = <<35+40=75>>75 #### 75 Brandon has been fired from half the businesses in town and has quit from a third of them. If there are 72 business in town, how many businesses can he still apply to? How many businesses has Brandon not been fired from? ** First divide the total number of businesses by 2 to find how many businesses Brandon hasn't been fired from: 72 businesses / 2 = <<72/2=36>>36 businesses How many businesses has Brandon quit from? ** Then divide the total number of businesses by 3 to find how many businesses Brandon quit from: 72 businesses / 3 = <<72/3=24>>24 businesses How many businesses can Brandon still apply to? ** Then subtract that number from the number of businesses he hasn't been fired from to find the number of businesses where he can still apply: 36 businesses - 24 businesses = <<36-24=12>>12 businesses #### 12 A class of 12 students was about to share 108 oranges equally among themselves when it was discovered that 36 of the oranges were bad and had to be thrown away. How many oranges less will each student get now than if no orange had to be thrown away? How many oranges would each student have gotten if no oranges had to be thrown away? ** If the 12 students had shared the 108 oranges, each student would have gotten 108/12 = <<108/12=9>>9 oranges How many oranges are left? ** But 36 were removed so there are 108-36 = <<108-36=72>>72 oranges left How many oranges will each student get now than if no orange had to be thrown away? ** So 12 shared 72 for each to get 72/12 = <<72/12=6>>6 oranges How many oranges less will each student get now than if no orange had to be thrown away? ** This is 9-6 = <<9-6=3>>3 less than they would each get if they did not have to throw any orange away. #### 3 In the first round of bowling, Patrick knocked down a total of 70 pins and Richard knocked down 15 more pins than Patrick. In the second round, Patrick knocked down twice as many pins as Richard in the first round and Richard knocked down 3 less than Patrick. How many more pins in total did Richard knock down than Patrick? How many pins did Richard knock down in the first round? ** In the first round, Richard knocked down 70 + 15 = <<70+15=85>>85 pins. How many pins did Patrick knock down in the second round? ** In the second round, Patrick knocked down 85 x 2 = <<85*2=170>>170 pins. How many pins did Richard knock down in the second round? ** In the second round, Richard knocked down 170 - 3 = <<170-3=167>>167 pins. How many pins did Patrick knock down in total? ** In total, Patrick knocked down 70 + 170 = <<70+170=240>>240 pins How many pins did Richard knock down in total? ** In total, Richard knocked down 85 + 167 = <<85+167=252>>252 pins How many more pins in total did Richard knock down than Patrick? ** Richard knocked down 252 - 240 = <<252-240=12>>12 pins more than Patrick. #### 12 Nancy wanted to make peanut butter cookies for a family gathering, but her cousin is allergic to peanuts. She decided to make almond butter cookies instead. A jar of almond butter costs three times the amount that a jar of peanut butter does. It takes half a jar to make a batch of cookies. A jar of peanut butter costs $3. How many dollars more does it cost per batch to make almond butter cookies instead of peanut butter cookies? How much does a jar of almond butter cost? ** A jar of almond butter costs 3 * 3 = $<<3*3=9>>9. How much does it cost to use almond butter? ** It takes half a jar to make a batch of cookies, so it costs 9 / 2 = $<<9/2=4.50>>4.50 to use almond butter. How much does it cost to use peanut butter? ** It costs 3 / 2 = $<<3/2=1.50>>1.50 to use peanut butter. How much more does it cost to make almond butter cookies than peanut butter cookies? ** Thus, it costs 4.50 - 1.50 = $<<4.50-1.50=3>>3 more to make a batch of almond butter cookies than peanut butter cookies. #### 3 A salon has the same amount of customers every day. Each customer needs 1 can of hairspray during the styling and is also given 1 can of hairspray to take home. The salon also buys an extra 5 cans of hairspray each day to ensure there is never a shortage. If the salon buys 33 cans of hairspray every day, how many customers do they have each day? How many cans of hairspray does the salon need? ** Removing the surplus hairspray shows the salon needs 33 total cans of hairspray – 5 surplus cans of hairspray = <<33-5=28>>28 cans of hairspray for each customer. How many cans of hairspray does each customer need? ** Each customer needs 1 can of hairspray for styling + 1 can of hairspray to take home = <<1+1=2>>2 cans of hairspray. How many customers does the salon have each day? ** So the salon has a total of 28 cans of hairspray / 2 cans of hairspray per customer = <<28/2=14>>14 customers. #### 14 Bruce buys 5 packs of crayons at $5 each, 10 books at $5 each, and 3 calculators at $5 each. If he has $200, how many bags can he buy with the change if one costs $10 each? How much does Bruce pay for crayons? ** He pays 5*5=$<<5*5=25>>25 for buying crayons. How much does Bruce pay for books? ** He pays 10*5=$<<10*5=50>>50 for buying books. How much does Bruce pay for calculators? ** He pays 3*5=$<<3*5=15>>15 for buying calculators. How much change does Bruce have? ** The change he has for buying bags is 200-25-50-15=$<<200-25-50-15=110>>110. How many bags can Bruce buy? ** The number of bags he can buy is 110/10=<<110/10=11>>11 bags. #### 11 James earns $10 per week as an allowance. After saving all his money for four weeks, he spends half of it on a new video game. He then spends a quarter of what is left to buy a new book. How much money does he have left? How much money does James start out with? ** He starts out with $10 * 4 = $<<10*4=40>>40. How much money does James spend on the video game? ** James spend $40 / 2 = $<<40/2=20>>20 on the video game. How much money does James have left? ** After buying the game, he has $40 - $20 = $<<40-20=20>>20 left. How much money does James spend on the book? ** He spent $20 / 4 = $<<20/4=5>>5 on the book. How much money does James have left? ** He has $20 - $5 = $<<20-5=15>>15 left. #### 15 For every 1 year a human ages, a dog ages 7 years. When Max is 3, how much older, in dog years, will his 3-year-old dog be? How old will the 3-year-old dog be? ** The 3-year-old dog ages 7 years to one human year so he will technically be 3*7 = <<3*7=21>>21 years old in dog years How old will Max's 3-year-old dog be? ** Max's dog will be 21 when Max turns 3 so the age difference is 21-3 = <<21-3=18>>18 #### 18 Adam teaches 50 students a year. How many students will Adam teach in 10 years if in the first year he only teaches 40 students? How many students will Adam teach in 9 years? ** Adam will teach 50 * 9 = <<50*9=450>>450 students in 9 years. How many students will Adam teach in 10 years? ** So, in 10 year Adam will teach 450 + 40 = <<450+40=490>>490 students. #### 490