Q: Jen buys and sells candy bars. She buys candy bars for 80 cents each and sells them for a dollar each. If she buys 50 candy bars and sells 48 of them, how much profit does she make in cents?
A: It costs Jen 80 * 50 = 4000 cents to buy 50 candy bars. Since a dollar is 100 cents, she earns 48 * 100 = 4800 cents by selling 48 of them. Thus her total profit is 4800 - 4000 = 800 cents. The answer is 800.
Question: A rectangle has a length of 40 meters and a width of 20 meters. A similar smaller rectangle has half the length and width of the big rectangle. What's the area of the smaller rectangle?
Answer: The length of the smaller rectangle is 1 / 2 * 40 = 20 meters. The width of the smaller rectangle is 1 / 2 * 20 = 10 meters. Since the area of a rectangle is found by multiplying the length times the width, the total area of the smaller rectangle is 20 * 10 = 200 meters square. The answer is 200.
[Question]The mayor commissioned two artists to paint 50 murals around the city. Once the work was completed, Celina was paid $1,000 more than 4 times the amount Diego got. If the mayor paid the two a total of $50,000, how much did Diego get?
[Answer]Let d be Diego’s payment. Both artists were paid (1000 + 4 * d ) + d = 50000 dollars. This means that 5d = (50000 - 1000) dollars. Therefore Diego was paid d = 49000 / 5 = 9800 dollars. The answer is 9800.
Q: Boston had .5 feet of snow on the first day of winter. The next day they got an additional 8 inches. Over the next 2 days, 2 inches of the snow melted. On the fifth day, they received another 2 times the amount of snow they received on the first day. How many feet of snow do they now have?
A: 12 inches is 1 foot and they received a .5 foot of snow on the first day so they received 12 * .5 = 6 inches of snow. The first day they had 6 inches and then received another 8 inches for a total of 6 + 8 = 14 inches. 2 inches melted from their 14 inches so that leaves 14 - 2 = 12 inches of snow. They received 2 times the amount as the first day's 6 inches of snow so that's 2 * 6 = 12 inches of snow. So they had 12 inches of snow and received another 12 inches of snow for a total of 12 + 12 = 24 inches. 12 inches is 1 foot and they have 24 inches of snow so they have 24 / 12 = 2 feet of snow. The answer is 2.
Question: A highway is being extended from its current length of 200 miles up to 650 miles. 50 miles are built on the first day, and three times this amount are built on the second day. How many miles still need to be added to the highway to finish extending it?
Answer: The length of the highway that needs to be constructed is 650 – 200 = 450 miles. After the first day, there are still 450 – 50 = 400 miles that need to be constructed. On the second day, 50 miles * 3 = 150 miles are added to the highway. This means that 400 – 150 = 250 miles still need to be added to the highway. The answer is 250.
Q: Gloria wants to buy the $129,000 mountain cabin that her friend Alfonso is selling. She only has $150 in cash. She intends to raise the remaining amount by selling her mature trees for lumber. She has 20 cypress trees, 600 pine trees, and 24 maple trees. She will get $100 for each cypress tree, $300 for a maple tree, and $200 per pine tree. After paying Alfonso for the cabin, how much money will Gloria have left?
A:
The cypress trees will earn Gloria 20 trees * $100 / tree = $2000. From the sale of the cypress trees, Gloria will also make 600 trees * $200 / tree = $120000. Finally, the maple trees will bring in 24 trees * $300 / tree = $7200. Combining all the amounts will give Gloria a total of $150 + $2000 + $120000 + $7200 = $129350. Subtracting the cost of the mountain cabin from the total will leave Gloria with a balance of $129350 - $129000 = $350. The answer is 350.