Question: A shop is offering a discount on pens. If you buy 10 pens at the regular price, you can get the next 10 for half off. A customer came in and bought 20 pens for $30. What's the regular price of one pen in dollars?
Answer: Let p be the cost of a full - priced pen. We know that the first 10 pens are sold at the regular price, so they cost 10 * p. We also know the any pens purchased after the first 10 are half - price, so they cost (20 pens - 10 pens) * p / 2 on those. If we add the cost of the first 10 pens and the pens sold at half - price it equals the total purchase of price of $30 = 10 * p + (20 - 10) * p / 2. Thus, $30 = 10 * p + 10 * p / 2. And, $30 = 10 * p + 5 * p. So, $30 = 15 * p. Finally, p = $2. The answer is 2.
[Question]Perry made a recipe that serves four people. He added a half cup of cream at the end. Cream has 88 grams of fat per cup. How many grams of fat were added to each serving of food?
[Answer]Perry added 88 / 2 = 44 grams of fat to the recipe. Thus, he added 44 / 4 = 11 grams of fat to each serving of food. The answer is 11.
Q: Betty has 3 red beads for every 2 blue beads that she has. How many blue beads does Betty have if she has 30 red beads?
A: Betty has 30 / 3 = 10 sets of 3 red beads. So, she has 10 x 2 = 20 blue beads. The answer is 20.
Question: Mark buys a loaf of bread for $4.20 and some cheese for $2.05. He gives the cashier $7.00. If the cashier only has 1 quarter and 1 dime in his till, plus a bunch of nickels, how many nickels does Mark get in his change?
Answer: First subtract the cost of Mark's groceries from the amount he gives the cashier to find how much he gets in change: $7.00 - $4.20 - $2.05 = $0.75. Then subtract the value of a quarter in cents (25) and the value of a dime in cents (10) from the change amount to find how much Mark gets paid in nickels: $0.75 - $0.25 - $0.10 = $0.40. Now divide the amount Mark gets in nickels by the value per nickel in cents (5) to find how many nickels Mark gets: $0.40 / $0.05 / nickel = 8 nickels. The answer is 8.
[Question]A family went out to see a movie. The regular ticket costs $9 and the ticket for children is $2 less. They gave the cashier two $20 bills and they received a $1 change. How many children are there if there are 2 adults in the family?
[Answer]They gave the cashier $20 x 2 = $40. Since a $1 change was returned, this means the tickets cost $40 - $1 = $39. Two adult tickets cost $9 x 2 = $18. So, $39 - $18 = $21 was spent for the children's tickets. Each child's ticket costs $9 - $2 = $7. Therefore, there are $21 / $7 = 3 children. The answer is 3.
[Question]A factory produced televisions at a constant rate of 10 per day in a certain year. If they reduced the total production by 10 percent in the second year, calculate the total production of television by the factory in the second year.
[Answer]
Since a year has 365 days, the total television production in the first year is 10 * 365 = 3650. In the second year, they reduced the total television production by 10 / 100 * 3650 = 365. The total television production in the second year was 3650 - 365 = 3285. The answer is 3285.