[Question]Bob picked 450 apples for his entire family to eat. There are 33 children in his family, and each of them ate 10 apples. If every adult ate 3 apples apiece, how many adults are in his family?
[Answer]The 33 children ate a total of 33 * 10 = 330 apples. There were 450 - 330 = 120 apples left for the adults to eat. If every adult ate 3 of the 120 apples left, then there were 120 / 3 = 40 adults in the family. The answer is 40.
Q: Big Dig Mining Company mines three different types of ore: copper, iron, and nickel. Across all their mines, 10% of their output is nickel, 60% is iron, and the rest is copper. They mine 720 tons of nickel a day. How many tons of copper does Big Dig Mining Company mine daily?
A: Let R be the total ore output of the company. Of Big Dig's output, 100 - 10 - 60 = 30% is nickel. Since 720 is 60% of 100% of their output, 720 / R = 60 / 100. Thus, Big Dig mines R = 100 * 720 / 60 = 1200 tons of ore daily. Therefore, Big Dig mines 1200 * 30 / 100 = 360 tons of copper daily. The answer is 360.
Question: A box holds 2 dozen doughnuts. If the family ate 8 doughnuts, how many doughnuts are left?
Answer: Two dozens of doughnuts are equal to 2 x 12 = 24 doughnuts. Since 8 doughnuts were eaten, therefore 24 - 8 = 16 doughnuts are left. The answer is 16.
[Question]Burt spent $2.00 on a packet of basil seeds and $8.00 on potting soil. The packet of seeds yielded 20 basil plants. He sells each basil plant for $5.00 at the local farmer's market. What is the net profit from his basil plants?
[Answer]He spent $2.00 on seeds and $8.00 on soil for a total of 2 + 8 = $10.00. He sells each of the 20 basil plants for $5.00 so he makes 20 * 5 = $100.00. He made $100.00 from selling basil plants and he spent $10.00 to buy and grow the seeds. His net profit is 100 - 10 = $90.00. The answer is 90.
Q: Violet has 3 more than twice as many nails as Tickletoe. If Violet has 27 nails, how many nails do they have together?
A: Violet has 27 - 3 = 24 nails, twice the number of nails that Tickletoe has. Therefore, Tickletoe has 1 / 2 * 24 = 12 nails. Together, Tickletoe and Violet have 12 + 27 = 39 nails. The answer is 39.
Question: Brianna started out with a bag of 24 marbles. She lost four marbles through a hole in the bag. Then, she gave away twice as many marbles as she had lost through the hole in the bag. Finally, her dog ate half as many marbles as Brianna had lost through the hole in the bag. How many marbles did Brianna have remaining?
Answer:
Brianna gave away twice as many marbles as she had lost, or a total of 2 * 4 = 8 marbles. Her dog ate half as many marbles as Brianna had lost through the hole in the bag, or 4 / 2 = 2 marbles. If she started with 24 marbles, then the number of marbles remaining is 24 - 4 - 8 - 2 = 10 marbles. The answer is 10.