[Question]Some friends went hiking for 3.5 hours. They traveled 21 kilometers in that time. Birgit was 4 minutes/km faster than the average time. If Birgit kept the same pace, how many minutes would it take her to go 8 kilometers?
[Answer]Minutes spent hiking = 3.5 * 60 = 210 minutes. Average speed = 210 minutes / 21 km = 10 minutes / km. Birgit is 4 minutes / km faster = 10 - 4 = 6 min / km. It would take 6 * 8 = 48 minutes to go 8 km. Birgit would take 48 minutes to travel 8 kilometers. The answer is 48.
Q: Hana sold 4/7 of her stamp collection for $28. How much would she have earned from selling the entire collection?
A: Hana sold 4 / 7 of her collection for $28, so 1 / 7 of her collection represents: 28 / 4 = $7. And as a result, the entire collection represents: 7 * 7 = $49. The answer is 49.
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]Brenda is a vet who needs to spay some cats and twice as many dogs. If she needs to spay 21 animals total today, how many cats does she need to spay?
[Answer]Let c be the number of cats Brenda needs to spay and d be the number of dogs. We know that c + d = 21 and d = 2c. Substituting the second equation into the first, we get c + 2c = 21. Combining like terms, we get 3c = 21. Dividing both sides by 3, we get c = 7. The answer is 7.
Q: Brenda bakes 20 cakes a day. She does this for 9 days and then sells half of the cakes. How many cakes are left with Brenda?
A: After 9 days, Brenda bakes 20 * 9 = 180 cakes. After she sells half of them, the remaining will be 180 / 2 = 90 cakes. The answer is 90.
Question: Cody goes to the store and buys $40 worth of stuff. The taxes were 5%. After taxes, he got an $8 discount. Cody and his friend split the final price equally. How much did Cody pay?
Answer:
The taxes were 40 * .05 = $2. So the price was 40 + 2 = $42. He got a discount so the price he paid was 42 - 8 = $34. Since he paid half his price was 34 / 2 = $17. The answer is 17.