[Question]UF got into the national championship. For them to get into the championship, they scored a total of 720 points during their previous 24 games. In the championship game, however, their opponent was much stronger than any other team they had previously gone against and they scored 2 points less than half as much as they had previously scored in each of the 24 games. Their opponent only lost by 2 points. How many points did their opponent score?
[Answer]They scored an average of 720 / 24 = 30 points in their previous games. Half that many would be 30 / 2 = 15 points. So in the finals, they scored 15 - 2 = 13 points. Their opponent thus scored 13 - 2 = 11 points. The answer is 11.
Q: For a project, a builder purchased 7 boxes of bolts with each box containing 11 bolts. He purchased 3 boxes of nuts with each box containing 15 nuts. He ended up finishing the project 6 days early and with 3 bolts and 6 nuts left over. How many bolts and nuts did he use for the project?
A: The builder purchased 7 boxes * 11 bolts = 77 bolts. He used 77 bolts - 3 left over = 74 bolts for the project. The builder purchased 3 boxes * 15 nuts = 45 nuts. He used 45 nuts - 6 left over = 39 nuts for the project. Total for the project he used 74 bolts + 39 nuts = 113 nuts and bolts. The answer is 113.
Question: Cary walks 3 miles round-trip to the grocery store, where he buys and eats a candy bar with 200 calories. If Cary burns 150 calories per mile walked, what's Cary's net calorie deficit (expressed as a positive number)?
Answer: First, find how many calories the walk burned by multiplying the calories burned per mile by the number of miles Cary walked: 3 miles * 150 calories / mile = 450 calories. Then subtract the calories Corey ate to find the net calories Cary burned: 450 calories - 200 calories = 250 calories. The answer is 250.
[Question]James gets bored with his game so decides to play a different one. That game promises 100 hours of gameplay but 80% of that is boring grinding. However, the expansion does add another 30 hours of enjoyable gameplay. How much enjoyable gameplay does James get?
[Answer]The first game was 100 * .8 = 80 hours of grinding. So it was 100 - 80 = 20 hours of good gameplay. The expansion brought the time of good gameplay to 20 + 30 = 50 hours. The answer is 50.
Q: Sean designs and sells patches. He orders his patches in a unit of 100 and is charged $1.25 per patch. If he turns around and sells all 100 patches for $12.00 each, what is his net profit?
A: He orders 100 patches and they cost $1.25 each so the patches are 100 * 1.25 = $125.00. He sells each of the 100 patches for $12.00 each so he makes 100 * 12 = $1,200.00. He makes $1,200.00 selling patches and spends $125.00 to have them made so his net profit is 1200 - 125 = $1,075.00. The answer is 1075.
Question: 5 squirrels collected 575 acorns. If each squirrel needs 130 acorns to get through the winter, how many more acorns does each squirrel need to collect?
Answer:
Each squirrel now has 575 / 5 = 115 acorns. Each squirrel still needs to collect another 130 - 115 = 15 acorns. The answer is 15.