[Question]Jeff bought 6 pairs of shoes and 4 jerseys for $560. Jerseys cost 1/4 price of one pair of shoes. Find the shoe's price total price.
[Answer]Let X be the shoe price. The jersey's price is 1 / 4 * X. Jeff bought 6 pairs of shoes and 4 jerseys for 6 * X + 4 * (1 / 4X) = $560. Multiplying through the parentheses produces 6X + X = $560. Combining like terms produces 7X = $560. Dividing both sides by 7 produces X = $80, so the shoe price is $80. Since Jeff bought 6 pairs of shoes, he spent 80 * 6 = $480 on shoes. The answer is 480.
Q: Bill thought he bought 70 chihuahuas, but some of them turned out to be rats. If the number of rats was 6 times the number of chihuahuas, how many rats did he buy?
A: Let r be the number of rats and c be the number of real chihuahuas. We know that r + c = 70 and r = 6c. Substituting the second equation into the first equation, we get 6c + c = 70. Combining like terms, we get 7c = 70. Dividing both sides by 7, we get c = 10. Substituting this back into r = 6c, we get r = 10 * 6 = 60. The answer is 60.
Question: Leila went to the supermarket to buy food for the Christmas party. She bought apples for 5€, sugar for 3€ and carrots for 17€. She paid with a 50€ bill. How much money does the saleswoman return to her?
Answer: To find out how much the saleswoman should give her back, we have to find out first how much she spent. She bought apples for 5€, sugar for 3€ and carrots for 17€, so she spent 5€ + 3€ + 17€ = 25€. She pays 50€ and the saleswoman must keep 25€, so the seller must give her back 50€ - 25€ = 25€. The answer is 25.
[Question]A grocery store has 4 kinds of jelly. They sell grape jelly twice as much as strawberry jelly, and raspberry jelly twice as much as plum jelly. The raspberry jelly sells a third as much as the grape jelly. If they sold 6 jars of plum jelly today, how many jars of strawberry jelly did they sell?
[Answer]They sell twice as much raspberry jelly as plum jelly, so they sold 2 * 6 = 12 jars of raspberry jelly today. The raspberry jelly sells a third as much as the grape jelly, so they sold 12 * 3 = 36 jars of grape jelly today. The grape jelly sells twice as much as the strawberry jelly, so they sold 36 / 2 = 18 jars of strawberry jelly today. The answer is 18.
Q: Allen is 25 years younger than his mother. In 3 years, the sum of their ages will be 41. What is the present age of Allen's mother?
A: In 3 years, the sum of their present ages will be added by 3 (from Allen) + 3 (from her mother) = 6. So, the sum of their present ages is 41 - 6 = 35. Let x be the present age of Allen's mother and x - 25 be the present age of Allen. So the equation using the sum of their present ages is x + x - 25 = 35. By combining like terms, the equation becomes 2x = 60. Hence, Allen's mother is x = 60 / 2 = 30 years old now. The answer is 30.
Question: It takes Polly 20 minutes to cook breakfast every day. She spends 5 minutes cooking lunch. She spends 10 minutes cooking dinner 4 days this week. The rest of the days she spends 30 minutes cooking dinner. How many minutes does Polly spend cooking this week?
Answer:
Polly spends 20 * 7 = 140 minutes cooking breakfast. She spends 5 * 7 = 35 minutes cooking lunch. She spends (10 * 4) + (30 * 3) = 130 minutes cooking dinner. Therefore, she spends 140 + 35 + 130 = 305 minutes cooking this week. The answer is 305.