[Question]Alice is making a big stack of dishes to see how tall she can make it before it topples over and falls. She starts off by placing 27 plates on top of each other. The tower holds fine so she adds 37 more plates. She is in the process of placing more and more plates when it finally topples over and crashes down, all 83 plates. How many more was Alice able to add before the tower fell and crashed?
[Answer]Alice was able to stack 27 + 37 = 64 plates she already stacked. The tower crashes when there are 83 plates - 64 plates already stacked = 19 plates she was able to stack before the tower crashed. The answer is 19.
Q: The sum of the three numbers is 500. If the first number is 200, and the value of the second number is twice the value of the third number, find the value of the third number.
A: Let's say the third number is x. The sum of the second and third number is 500 - 200 = 300. Since the third number is x, the sum of the values of the second and third number is x + 2x = 300. This is 3x = 300. The value of the third number is x = 300 / 3. x = 100. The answer is 100.
Question: Tom and Elizabeth have a competition to climb a hill. Elizabeth takes 30 minutes to climb the hill. Tom takes four times as long as Elizabeth does to climb the hill. How many hours does it take Tom to climb up the hill?
Answer: It takes Tom 30 * 4 = 120 minutes to climb the hill. It takes Tom 120 / 60 = 2 hours to climb the hill. The answer is 2.
[Question]The ratio of the amount of money Cara, Janet, and Jerry have is 4:5:6. If the total amount of money they have is $75, calculate the loss Cara and Janet will make if they combine their money to buy oranges and sell them at 80% of the buying price.
[Answer]The sum of the ratios representing the amount of money the three has is 4 + 5 + 6 = 15. If the total amount of money they have is $75, the amount of money Cara has represented by the fraction 4 / 15 is 4 / 15 * $75 = $20. Similarly, the amount of money Janet has represented by the fraction 5 / 15 of the total ratio is 5 / 15 * $75 = $25. Combined, Cara and Janet have $20 + 25 = $45. If Cara and Janet buy goods worth $45 and sells them at 80% of the buying price, the selling price of the goods will be 80 / 100 * $45 = $36. Since they bought the goods at $45 and sold them at $36, Janet and Cara would run at a loss of $45 - $36 = $9. The answer is 9.
Q: Jules is walking dogs to help pay for his family's vacation. The vacation costs $1,000. There are five members in his family and each one must contribute the same amount towards the vacation cost. He charges $2 to start a walk and $1.25 per block. If he walks 20 dogs, how many blocks in total does he have to walk them?
A: Jules has to earn $200 because 1000 / 5 = 200. He has earned $40 from starting the walks because 20 x 2 = 40. He has to earn $160 from distance, because 200 - 40 = 160. He has to walk 128 blocks because 160 / 1.25 = 128. The answer is 128.
Question: Madeline has $48 and her brother has half as much. How much do they have together?
Answer:
Madeline's brother has $48 / 2 = $24. Together, they have $48 + $24 = $72. The answer is 72.