Question: Mrs. Carlton gives out penalty points whenever her students misbehave. They get 5 points for interrupting, 10 points for insulting their classmates, and 25 points for throwing things. If they get 100 points, they have to go to the office. Jerry already interrupted twice and insulted his classmates 4 times. How many times can he throw things before he gets sent to the office?
Answer with step-by-step thinking: For interrupting, Jerry got 5 points per interruption * 2 interruptions = 10 points. For insulting, he got 10 points per insult * 4 insults = 40 points. To get to the 100 limit points, Jerry has 100 points - 10 points - 40 points = 50 points left. He still has 50 points / 25 points per throw = 2 throws.
So the answer is 2.


Question: Leo had 400 marbles in a jar. He packed the marbles with ten marbles in each pack, and he gave some of them to his two friends, Manny and Neil.  He gave Manny 1/4 of the number of packs of marbles, Neil received 1/8 of the number of packs of marbles, and he kept the rest. How many packs of marbles did Leo keep?
Answer with step-by-step thinking: Leo had 400 / 10 = 40 packs of marbles. He gave Manny 1 / 4 x 40 = 10 packs of marbles. And, Neil received 1 / 8 x 40 = 5 packs of marbles. Thus, Leo. gave a total of 10 + 5 = 15 packs of marbles. Therefore, Leo kept 40 - 15 = 25 packs of marbles.
So the answer is 25.


Question: Two apartment roommates split the rent, utilities, and grocery payments equally each month. The rent for the whole apartment is $1100 and utilities are $114. If one roommate pays $757 in all, how many dollars are groceries for the whole apartment?
Answer with step-by-step thinking:
Rent plus utilities for the whole apartment is 1100 + 114 = $1214. If one roommate pays $757 in all, the total cost of everything is 757 * 2 = 1514. The groceries cost 1514 - 1214 = 300.
So the answer is 300.