Q: Tom and Devin have been teaching for a total of 70 years. Devin has been teaching for 5 less than half the number of years that Tom has. How many years has Tom been teaching?
A: Let x be the number of years Tom has been teaching. Devin has been teaching for (1 / 2)x - 5 years. 70 = x + ((1 / 2)x - 5). 70 = (3 / 2)x - 5. 75 = (3 / 2)x. x = 50. Tom has been teaching for 50 years. The answer is 50.
Question: The school decided to add 20% to the gym budget. In a normal month, they could buy 15 dodgeballs for $5 each if they spent the entire budget on that. If they only buy softballs instead, which cost $9 each, how many can they buy with the new budget?
Answer: The old budget was $75 because 15 x 5 = 75. They are adding $15 to the budget because 75 x .2 = 15. The new budget is $90 because 75 + 15 = 90. They can buy 10 softballs on the new budget because 90 / 9 = 10. The answer is 10.
[Question]Bob orders a dozen muffins a day for $0.75 each and sells them for $1.5 each. How much profit does he make a week?
[Answer]He buys them for 12 * .75 = $9. He sells them for 12 * 1.5 = $18. So he makes 18 - 9 = $9 per day. That means he makes 9 * 7 = $63 per week. The answer is 63.
Q: An old car can drive 8 miles in one hour. After 5 hours of constant driving, the car needs to get cooled down which takes 1 hour. How many miles can this car drive in 13 hours?
A: In 5 hours the car can drive 8 * 5 = 40 miles. One cycle of driving and pause takes 5 + 1 = 6 hours. In 13 hours this cycle can fit 13 / 6 = 2 full cycles with a remainder of 1 hour. Two cycles will last for 2 * 6 = 12 hours. During two full cycles, the car will drive 40 * 2 = 80 miles. So there is 13 - 12 = 1 remaining hour when the car can drive. That means during 13 hours the car will be able to drive 80 + 8 = 88 miles. The answer is 88.
Question: Ron's baseball team scored 270 points in the year. There are 9 players on the team. If 5 of them averaged 50 points each, how many points did the remainder average?
Answer: The first five players scored a total of 250 points because 5 x 50 = 250. There are 4 players left because 9 - 5 = 4. The 4 remaining players scored 20 points because 270 - 250 = 20. The 4 remaining players averaged 5 points because 20 / 4 = 5. The answer is 5.
Q: The result from the 40-item Statistics exam Marion and Ella took already came out. Ella got 4 incorrect answers while Marion got 6 more than half the score of Ella. What is Marion's score?
A:
Ella's score is 40 items - 4 items = 36 items. Half of Ella's score is 36 items / 2 = 18 items. So, Marion's score is 18 items + 6 items = 24 items. The answer is 24.