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?

In the first round, Richard knocked down 70 + 15 =

<<70+15=85>>85 pins. In the second round, Patrick knocked down 85 x 2 = <<85*2=170>>170 pins. In the second round, Richard knocked down 170 - 3 = <<170-3=167>>167 pins. In total, Patrick knocked down 70 + 170 = <<70+170=240>>240 pins In total, Richard knocked down 85 + 167 = <<85+167=252>>252 pins 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? A jar of almond butter costs 3 * 3 = $<<3*3=9>>9. 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. It costs 3 / 2 = $<<3/2=1.50>>1.50 to use peanut butter. 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? 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. Each customer needs 1 can of hairspray for styling + 1 can of hairspray to take home = <<1+1=2>>2 cans of hairspray. 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 $10 each? He pays 5*5=$<<5*5=25>>25 for buying crayons. He pays 10*5=$<<10*5=50>>50 for buying books. He pays 3*5=$<<3*5=15>>15 for buying calculators. The change he has for buying bags is 200-25-50-15=$<<200-25-50-15=110>>110. 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? He starts out with $10 * 4 = $<<10*4=40>>40. James spend $40 / 2 = $<<40/2=20>>20 on the video game. After buying the game, he has $40 - $20 = $<<40-20=20>>20 left. He spent $20 / 4 = $<<20/4=5>>5 on the book. 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? 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 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? Adam will teach 50 * 9 = <<50*9=450>>450 students in 9 years. So, in 10 year Adam will teach 450 + 40 = <<450+40=490>>490 students. #### 490 Two stores sell the same model of smartphone, but they offer it at different prices and with different discounts. Store A lists the smartphone at a full price of $125 and offers an additional discount of 8%. Store B lists the same smartphone for $130 and offers an additional discount of 10%. After both stores' discounts are applied, how much cheaper is store A's smartphone than store B's smartphone? Store A has a $125 x 8/100 = $<<125*8/100=10>>10 discount. So the smartphone from store A will only cost $125 - $10 = $<<125-10=115>>115. Store B has a $130 x 10/100 = $<<130*10/100=13>>13 discount. So the smartphone from store B will only cost $130 - $13 = $<<130-13=117>>117. Thus, store A's smartphone is $117 - $115 = $<<117-115=2>>2 cheaper than that of store B. #### 2 A jug needs 40 cups of water to be full. A custodian at Truman Elementary School has to fill water jugs for 200 students, who drink 10 cups of water in a day. How many water jugs will the custodian fill with cups of water to provide the students with all the water they need in a day? Since each student needs 10 cups of water per day and there are 200 students, the custodian has to provide 200*10 = <<200*10=2000>>2000 cups of water. A jug of water needs 40 cups to be full, so 2000 cups of water will fill 2000/40 = <<2000/40=50>>50 jugs #### 50 A farmer is selling ducks and chickens at the market. He sells ducks for $10 and chickens for $8. He sells 5 chickens and some ducks. He then spends half his earnings on a new wheelbarrow. After buying it, someone sees it and agrees to pay the farmer double what the farmer paid and the farmer earns another $60. How many ducks did the farmer sell? The wheelbarrow cost $30 because 60 / 2 = <<60/2=30>>30 The farmer earned $60 from selling fowl because 30 / (1/2) = <<30/(1/2)=60>>60 The farmer earned $40 selling chickens because 5 x 8 = <<5*8=40>>40 The farmer earned $20 selling ducks because 60 - 40 = <<60-40=20>>20 The farmer sold 2 ducks because 20 / 10 = <<20/10=2>>2 #### 2