[Question]Aubrey is planting tomatoes and cucumbers in her garden. For each row of tomato plants, she is planting 2 rows of cucumbers. She has enough room for 15 rows of plants in total. There is enough space for 8 tomato plants in each row. If each plant produces 3 tomatoes, how many tomatoes will she have in total?
[Answer]Since one out of every 3 rows will contain tomato plants, there will be 15 / 3 = 5 rows of tomato plants. This gives her enough room to plant 5 rows * 8 plants / row = 40 tomato plants. The plants will produce a total of 40 * 3 = 120 tomatoes. The answer is 120.
Q: For the school play, 40 rows of chairs were set up where there were 20 chairs in each row. If only 10 seats were not occupied, how many seats were taken?
A: The school prepared 40 x 20 = 800 chairs. So, 800 - 10 = 790 chairs were taken. The answer is 790.
Question: Bobby received his weekly paycheck today. Although his salary is $450 per week, his actual paycheck is reduced in size because there are some taxes, insurance payments, and fees removed from his pay before his employer writes the check. If the government removes 1/3 in federal taxes and 8% in state taxes, the health insurance removes $50 per week, the life insurance removes $20 per week, and the city charges him a fee of $10 per week for parking, then what is the final amount left in Bobby's paycheck, in dollars?
Answer: The federal government takes out 1 / 3 * 450 = 150 dollars. The state takes out 0.08 * 450 = 36 dollars. Then the final amount remaining after all the deductions are removed is 450 - 150 - 36 - 50 - 20 - 10 = 184 dollars. The answer is 184.
[Question]Antoine owns a strawberry farm that supplies strawberries to his local bakeries. The first bakery needs 2 sacks, the second bakery needs 4 sacks, and the third bakery needs 12 sacks of strawberries per week. How many sacks of strawberries does he need to supply all the bakeries in 4 weeks?
[Answer]The first bakery needs 2 x 4 = 8 sacks of strawberries per month. The second bakery needs 4 x 4 = 16 sacks of strawberries per month. The third bakery needs 12 x 4 = 48 sacks of strawberries per month. Therefore, Antoine needs 48 + 16 + 8 = 72 sacks of strawberries to supply all the bakeries for a month. The answer is 72.
Q: Cameron is printing her thesis in the school library and has 400 A4 pieces of paper. If 40% of the papers did not print out up to her desired quality and she separated them as invalid, calculate the total number of valid documents.
A: If she had 400 papers, the total number of documents she separated as invalid is 40 / 100 * 400 pages = 160 pages. The number of valid documents is 400 pages - 160 pages = 240 pages. The answer is 240.
Question: Jackson is making pancakes with three ingredients: flour, milk and eggs. 20% of the bottles of milk are spoiled and the rest are fresh. 60% of the eggs are rotten. 1/4 of the cannisters of flour have weevils in them. If Jackson picks a bottle of milk, an egg and a canister of flour at random, what are the odds all three ingredients will be good?
Answer:
First find the percentage of milk bottles that are fresh: 100% - 20% = 80%. Then find the percentage of the eggs that aren't rotten: 100% - 60% = 40%. Then find the fraction of the flour canisters that don't have weevils: 1 - 1 / 4 = 3 / 4. Divide the numerator of this fraction by the denominator and multiply by 100% to convert from a fraction to a percent: 3 / 4 * 100% = 75%. Then multiply the probability that each ingredient is good to find the probability they all are: 75% * 80% * 40% = 24%. The answer is 24.