[Question]Marie is planning to buy a new cash register for her bakery that costs $1040. Every day Marie sells 40 loaves of bread for $2 each and 6 cakes for $12 each. She has to pay $20 each day for rent and $2 each day for electricity. How many days' worth of profits will it take for Marie to pay for the cash register?
[Answer]First figure out how much money Marie makes from selling bread each day by multiplying the number of loaves sold by the price per loaf: 40 loaves * $2 / loaf = $80. Next figure out how much money Marie makes from selling cakes each day by multiplying the number of cakes sold by the price per cake: 6 cakes * $12 / cake = $72. Now add the money from selling the bread to the money from selling the cakes to find Marie's total daily income: $80 + $72 = $152. Next subtract Marie's daily expenses from her daily income to find her daily profit: $152 - $20 - $2 = $130. Finally, divide the price of the cash register by Marie's daily profit to find how many days' profits she needs to pay for it: $1040 / $130 = 8. The answer is 8.
Q: There are several cookies in the jar. Taking 1 cookie away would leave half as many in the jar as if 5 were added. How many cookies are in the jar?
A: Let C be the number of cookies. There would be C - 1 cookies. There would be (C + 5) / 2 cookies. C - 1 = (C + 5) / 2. 2(C - 1) = C + 5. 2C - 2 = C + 5. C = 7. The answer is 7.
Question: A tank can hold 100 liters of water. At the beginning of the rainy season, the tank is 2/5 filled with water. On the first day of the rainy season, the tank collected 15 liters of water. On the second day, 5 liters more water was collected than on the first day. On the third day, the tank was already filled. How many liters of water were collected on the third day?
Answer: At the beginning of the rainy season, the tank is filled with 100 x 2 / 5 = 40 liters of water. On the first day of the rainy season, the tank had 40 + 15 = 55 liters of water. On the second day, 15 + 5 = 20 liters of water were collected. So, the tank is filled with 55 + 20 = 75 liters of water on the second day. Therefore, 100 - 75 = 25 liters of water were collected on the third day. The answer is 25.
[Question]Rich ran a 24-mile marathon in 3 hours and 36 minutes. On average, how long, in minutes, did it take Rich to run a mile during the race?
[Answer]3 hours is 3 * 60 = 180 minutes. Thus 3 hours and 36 minutes is 180 + 36 = 216 minutes. Thus, he ran the 24 miles in 216 minutes, and each mile took 216 / 24 = 9 minutes for Rich to run. The answer is 9.
Q: The difference in age between Declan's elder son and younger son is 10 years. If the elder son is 40 years old now, how old will the younger son be 30 years from now?
A: If the elder son is 40 years old now, the younger son is 40 - 10 = 30 years old. In 30 years from now, the younger son will be 30 + 30 = 60 years old. The answer is 60.
Question: The town of Centerville spends 15% of its annual budget on its public library. Centerville spent $3,000 on its public library and 24% on the public parks. How much is left of the annual budget?
Answer:
The entire budget of Centerville is $3000 / 0.15 = $20,000. The budget for the parks is $20,000 * 0.24 = $4,800. After the park and the library there will be $20,000 - ($3,000 + $4,800) = $12,200 left in the budget. The answer is 12200.