Q: Jack and Jill race up the hill to see who gets there fastest. Jack ran up the first half of the hill in 19 seconds. He finished running up the hill 7 seconds before Jill did. If Jill finished the race in 32 seconds, how long did it take Jack to run up the second half of the hill?
A: Since Jack was faster than Jill, his total running time must have been 32 - 7 = 25 seconds. Subtracting the the time he spent running up the first half of the hill shows that it took 25 - 19 = 6 seconds to run up the second half of the hill. The answer is 6.
Question: Tyler has $100. If he buys 8 scissors for $5 each and 10 erasers for $4 each, how much of his money remains?
Answer: 8 * $5 = $40 is the price of 8 scissors. 10 * $4 = $40 is the price of 10 erasers. You can find the total price by adding the cost of the scissors and erasers: $40 + $40 = $80. $100 - $80 = $20 is the remaining amount of his money. The answer is 20.
[Question]Rachel earned $200 babysitting. She spent 1/4 of the money on lunch. She spent 1/2 of the money on a DVD. How much did Rachel have left?
[Answer]Rachel spent 1 / 4 * 200 = $50 on lunch. Rachel spent 1 / 2 * 200 = $100 on a DVD. Rachel has 200 - 50 - 100 = $50 left. The answer is 50.
Q: A herring has 40 oz of fat, an eel 20 oz, and a pike 10 more oz of fat than an eel. If Ellianna cooked and served 40 fish of each type, calculate how many ounces of fat she served.
A: Ellianna cooking 40 herrings with 40 oz of fat each gives her 40 * 40 = 1600 oz of fat. If Ellianna also cooked 40 eels with 20 oz of fat each, she got 40 * 20 = 800 0z of fat. All the herrings and eels together have a total fat content of 1600 + 800 = 2400 oz of fat. A pike, with 10 more oz of fat than an eel, has 10 + 20 = 30 oz of fat. Cooking 40 pikes gives 40 * 30 = 1200 oz of fat. Since Ellianna cooked all the fish, she had 1200 + 2400 = 3600 oz of fat in her serving. The answer is 3600.
Question: In a math contest, Riley and Ofelia are on one team. The team's final score is obtained by adding the scores of the students of the same team. Out of the 35 questions, Riley got 3 mistakes while Ofelia got 5 more than half the score of Riley. How many incorrect answers did their team get?
Answer: Riley's score is 35 - 3 = 32. Half of Riley's score is 32 / 2 = 16. So Ofelia's score is 16 + 5 = 21. Hence, Ofelia got 35 - 21 = 14 incorrect answers. Therefore, their team got 3 + 14 = 17 incorrect answers. The answer is 17.
Q: Jenny signs up for dinner theater with 5 of her friends. Each person pays $50 for the ticket and $10 for their entree, and half the people also buy unlimited drink tickets for $30/person. Then the dinner theater is canceled due to COVID, and each person gets a 90% refund. How much money did the group of six friends lose?
A:
First find the cost of the ticket and the entree for each person: $50 / person + $10 / person = $60 / person. Then multiply that cost by the number of people to find the total cost of entrees and tickets: $60 / person * 6 people = $360. Now find how many people ordered drink tickets: 6 people / 2 = 3 people. Now find the total cost of the drink tickets: 3 people * $30 / person = $90. Now find the total cost of the evening: $90 + $360 = $450. Now multiply this quantity by 90% to find the amount of the refund: $450 * .9 = $405. Now subtract the refund amount from the total cost to find how much money the friends lost: $450 - $405 = $45. The answer is 45.