Q: Parker and Richie split a sum of money in the ratio 2:3. If Parker got $50 (which is the smaller share), how much did they share?
A: If Parker got $50 with a ratio of 2, then the unit share is $50 / 2 = $25. Using the sharing ratio, Richie gets 3 unit shares which total to 3 * $25 = $75. The money they shared was $50 + $75 = $125. The answer is 125.
Question: Carly is a pet groomer. Today, her task was trimming the four nails on dogs’ paws. She trimmed 164 nails, but three of the dogs had only three legs. How many dogs did Carly work on?
Answer: Let N be the number of dogs with 4 legs Carly worked on. All the dogs with 4 legs had 4N paws. There were 3 * 3 = 9 paws on dogs with 3 legs. At 4 nails per paw, she trimmed 164 / 4 = 41 paws. She worked on 4N + 9 = 41 paws. Thus, she worked on 4N = 32 paws on dogs with 4 legs. She worked on N = 32 / 4 = 8 dogs with 4 legs. Thus, Carly worked on 8 + 3 = 11 dogs. The answer is 11.
[Question]The capacity of Karson's home library is 400 books. If he currently has 120 books, how many more books does he have to buy to make his library 90% full?
[Answer]When 90% full, Karson's library holds 90 / 100 * 400 = 360 books. If he has 120 books in the library now, he needs to buy 360 - 120 = 240 books to make his library 90% full. The answer is 240.
Q: If Alice purchased 3600 acorns for nine times the price Bob paid, and Bob paid $6000 for his acorns, how much money did Alice pay for each acorn?
A: Nine times the price Bob paid for his acorns is 9 * $6000 = $54000. If Alice purchased 3600 acorns for nine times the price Bob paid, she paid $54000 / 3600 = $15 for each acorn. The answer is 15.
Question: Sophie went to the Dunkin Donuts store and bought 4 boxes of donuts. There were 12 donuts in each box. She gave 1 box to her mom and half a dozen to her sister. How many donuts were left for her?
Answer: Sophie has 4 - 1 = 3 boxes of donuts left. The total number of pieces of donuts that she has is 3 x 12 = 36. She gave 12 / 2 = 6 donuts to her sister. Therefore Sophie was left with 36 - 6 = 30 donuts after giving her sister. The answer is 30.
Q: Sasha can complete 15 questions an hour. If she has 60 questions to complete and she works for 2 hours, how many questions does she still need to complete?
A:
Sasha completes 15 questions / hour * 2 hours = 30 questions. This means there are still 60 questions – 30 questions = 30 questions left to complete. The answer is 30.