[Question]Andy is making fudge. First he needs to raise the temperature of the candy mixture from 60 degrees to 240 degrees. Then he needs to cool it down to 170 degrees. If the candy heats at 5 degrees/minute and cools at 7 degrees/minute, how long will it take for the candy to be done (in minutes)?
[Answer]First find the total number of degrees the candy needs to heat up: 240 degrees - 60 degrees = 180 degrees. Then divide that amount by the rate the candy heats up: 180 degrees / 5 degrees / minute = 36 minutes. Then find the number of degrees the candy needs to cool down: 240 degrees - 170 degrees = 70 degrees. Then divide that by the rate the candy cool down: 70 degrees / 7 degrees / minute = 10 minutes. Then add the time for the candy to heat to the time for it to cool to find the total time: 10 minutes + 36 minutes = 46 minutes. The answer is 46.
Q: A rope has a length of 200 meters. Stefan cuts the rope into four equal parts, gives his mother half of the cut pieces, and subdivides the remaining pieces into two more equal parts. What's the length of each piece?
A: When Stefan cuts the rope into four equal parts, he gets 200 / 4 = 50 meters of each piece. If he decides to subdivide each piece, he and up with 50 / 2 = 25 meters. The answer is 25.
Question: Mandy has three $20 bills while Manny has two $50 bills. If both of them decide to exchange their bills for $10 bills, how many more $10 bills than Mandy will Manny have?
Answer: Mandy has a total of $20 x 3 = $60. So, she will have $60 / $10 = 6 $10 bills. Manny has a total of $50 x 2 = $100. So, he will have $100 / $10 = 10 $10 bills. Hence, Manny has 10 - 6 = 4 more $10 bills than Mandy. The answer is 4.
[Question]Melissa sells a coupe for $30,000 and an SUV for twice as much. If her commission is 2%, how much money did she make from these sales?
[Answer]First find the total cost of the SUV: $30,000 * 2 = $60,000. Then add the cost of the coupe to find the total cost of the cars: $60,000 + $30,000 = $90,000. Multiplying that amount by Melissa's commission rate, we find her earnings are $90,000 * 2% = $1800. The answer is 1800.
Q: Debora has 12 more dresses than Melissa. Melissa has half the number of dresses Emily has. If Emily has 16 dresses, how many dresses do the three of them have in total?
A: Melissa has 16 / 2 = 8 dresses. Debora has 8 + 12 = 20 dresses. In total, they have 16 + 8 + 20 = 44 dresses. The answer is 44.
Question: James spends 3 hours vacuuming and 3 times as long on the rest of his chores. How long does he spend on his chores?
Answer:
He spends 3 * 3 = 9 hours on his other chores. So he spends 3 + 9 = 12 hours on chores. The answer is 12.