Q: A baker sells pastries for $5 and works 7 days a week. On Monday he sold 2. Every day the number of sales increases by 1 compared to the previous day. On average, how many pastries does he sell on each day of the week?
A: You know from the statement that on Monday he sells 2 pastries, so on Tuesday he sells 3, Wednesday 4, Thursday 5, Friday 6, Saturday 7 and Sunday 8 pastries. So the average value is (2 + 3 + 4 + 5 + 6 + 7 + 8) pastries / 7 days. The baker sells, on average, 35 / 7 = 5 pastries / day for 1 week. The answer is 5.
Question: Jenny collects cans and bottles to take down to the recycling center. Each bottle weighs 6 ounces and each can weighs 2 ounces. Jenny can carry a total of 100 ounces. She collects 20 cans and as many bottles as she can carry. If she gets paid 10 cents per bottle and 3 cents per can, how much money does she make (in cents)?
Answer: First, the weight of 20 cans is 20 cans * 2 oz per can = 40 oz. Thus, Jenny has the capacity to carry 100 oz - 40 oz = 60 oz of bottles. Jenny can carry 60 oz / 6 oz per bottle = 10 bottles. Jenny earns 10 bottles * 10 cents per bottle = 100 cents for the bottles. Jenny earns 20 cans * 3 cents per can = 60 cents for the cans. In total, she earns 100 cents + 60 cents = 160 cents. The answer is 160.
[Question]Kimiko is retiling her kitchen floor. Each tile is 6 square inches. If her kitchen is 48 inches by 72 inches, how many tiles does Kimiko need to buy?
[Answer]First figure out how many tiles are in one row by dividing the kitchen's width by each tile's width: 48 inches / 6 inches / tile = 8 tiles in one row. Then figure out how many rows of tiles there are by dividing the kitchen's height by each tile's height: 72 inches / 6 inches / tile = 12 rows of tiles. Then multiply the number of rows by the number of tiles per row to find the total number of tiles Kimiko needs to buy: 8 tiles / row * 12 rows = 96 tiles. The answer is 96.
Q: There are 100 students in class and the ratio of boys to girls is 3:2. How many more boys than girls are there?
A: The class was divided into 3 + 2 = 5 parts. So each part is equal to 100 / 5 = 20 students. Since there are 3 parts for boys, then there are 20 x 3 = 60 boys in class. So there are 100 - 60 = 40 girls in class. Hence, there are 60 - 40 = 20 boys more than girls. The answer is 20.
Question: Mike wants to buy a new car. He has chosen a red car for $35000. To be able to pay this price, he needs to loan part of the money from the bank, at a rate of 15%. How much money in total will Mike need to pay for the car, if he has to take $20000 from the bank?
Answer: The rate of the loan is 15%, which means Mike needs to give the bank an additional 20000 * 15 / 100 = $3000. So the car will cost him 35000 + 3000 = $38000. The answer is 38000.
Q: A boy runs 1.5 km in 45 minutes. What is his speed in kilometers per hour?
A:
Since 1 hour is equal to 60 minutes, then 45 minutes is equal to 45 / 60 = 0.75 hours. Then, the speed in kilometers per hour is 1.5 km / 0.75 hour = 2 kilometers per hour. The answer is 2.