Q: 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.
A: 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.
Question: The state of Virginia had 3.79 inches of rain in March, 4.5 inches of rain in April, 3.95 inches of rain in May, 3.09 inches of rain in June and 4.67 inches in July. What is the average rainfall amount, in inches, in Virginia?
Answer: It rained for a total of 3.79 + 4.5 + 3.95 + 3.09 + 4.67 = 20 inches. The rain period is from March through July for a total of 5 months so the average rainfall is 20 / 5 = 4 inches of rain per month. The answer is 4.
[Question]At a James Bond movie party, each guest is either male (M) or female (F. 40% of the guests are women, 80% of the women are wearing rabbit ears, and 60% of the males are wearing rabbit ears. If the total number of guests at the party is 200, given all this information, what is the total number of people wearing rabbit ears?
[Answer]If 40% of the guests are females, then there are 40 / 100 * 200 = 80 female guests at the party. The number of female guests wearing rabbit ears is 80 / 100 * 80 = 64. The number of male guests is 200 guests - 80 female guests = 120. If 60% of the male guests are wearing rabbit ears, then there are 60 / 100 * 120 = 72 male guests wearing rabbit ears. The total number of guests wearing rabbit ears is 64 + 72 = 136. The answer is 136.
Q: Sandra wants to buy some sweets. She saved $10 for this purpose. Her mother gave her an additional $4, and her father twice as much as her mother. One candy costs $0.5, and one jelly bean $0.2. She wants to buy 14 candies and 20 jelly beans. How much money will she be left with after the purchase?
A: Sandra's father gave her $4 * 2 = $8. So Sandra has in total $8 + $4 + $10 = $22. She wants 14 candies, so she is going to pay 14 candies * $0.50 / candy = $7 for them. She wants also 20 jellybeans, and they're going to cost 20 jellybeans * $0.20 / jellybean = $4. So after the purchase, she will be left with $22 - $4 - $7 = $11. The answer is 11.
Question: John works at 2 different hospitals. At the first hospital, he sees 20 different patients each day. At the second hospital, he sees 20% more individual patients a day. He works 5 days a week. How many patients does he treat a year if he works 50 weeks a year?
Answer: He treats 20 * .2 = 4 extra patients. So he treats 20 + 4 = 24 patients at the second hospital. So he treats 20 + 24 = 44 patients a day. That means he treats 44 * 5 = 220 patients a week. So he treats 220 * 50 = 11,000 patients a year. The answer is 11000.
Q: A teacher asked Adelaide, Ephraim, and Kolton to buy ducks and monitor their growth patterns and features for their science class. Adelaide bought twice the number of ducks that Ephraim bought, while Ephraim bought 45 fewer ducks than Kolton. If Adelaide bought 30 ducks, what's the average number of ducks the three bought?
A:
If Adelaide bought 30 ducks, Ephraim bought 30 ducks / 2 = 15 ducks. Since Ephraim bought 45 fewer ducks than Kolton, Kolton bought 45 ducks + 15 ducks = 60 ducks. The total number of ducks the three bought is 60 ducks + 15 ducks + 30 ducks = 105 ducks. The average number of ducks each bought is 105 ducks / 3 people = 35 ducks / person. The answer is 35.