[Question]Three towns, Toadon, Gordonia, and Lake Bright, have 80000 people. Gordonia has 1/2 times the total population in the three cities. If the population of Toadon is 60 percent of Gordonia's population, how many people live in Lake Bright?
[Answer]The population of Gordonia is 1 / 2 * 80000 people = 40000 people. Toadon has 60 / 100 * 40000 people = 24000 people. The total population of Gordonia and Toadon is 40000 people + 24000 people = 64000 people. The population of Lake Bright is 80000 people - 64000 people = 16000 people. The answer is 16000.
Q: Barkley gets 10 new dog bones at the beginning of the month. After 5 months, he has 8 bones available and has buried the rest. How many bones has he buried?
A: He gets 10 new bones, every month for 5 months so he has 10 * 5 = 50 dog bones. He has 8 bones available which means he has buried 50 - 8 = 42 bones. The answer is 42.
Question: A state fair charges $5 for a ticket. Two-thirds of the people who buy a ticket will buy deep-fried fair food for $8, one quarter will go on a ride for $4, and one eighth will spend $15 on a souvenir. The fair made $2520 from tickets. How many dollars did they make in all?
Answer: The fair made $2520 from tickets, so they had 2520 / 5 = 504 people attend the fair. Two - thirds of those people will buy food, so 504 * 2 / 3 = 336 people will buy food. The fair will make 336 * 8 = $2688 from food. A quarter of the people will go on a ride, so 504 / 4 = 126 people will go on a ride. The fair will make 126 * 4 = $504 from rides. An eighth of the people will buy a souvenir, so 504 / 8 = 63 people will buy souvenirs. The fair will make 63 * 15 = $945 from souvenirs. In all, the fair will make 2520 + 2688 + 504 + 945 = $6657. The answer is 6657.
[Question]A vampire drains three people a week. His best friend is a werewolf who eats five people a week, but only fresh ones, never drained ones. How many weeks will a village of 72 people last them both?
[Answer]The vampire and werewolf need 3 + 5 = 8 people a week. A village of 72 people will last them both 72 / 8 = 9 weeks. The answer is 9.
Q: Mrs. Amaro has 80 roses in her garden. Three-fourths of her roses are red, one-fourth of the remaining are yellow, and the rest are white. How many of Mrs. Amaro's roses are either red or white?
A: Mrs. Amaro has 80 x 3 / 4 = 60 red roses. So, 80 - 60 = 20 roses are not red. Then, 20 x 1 / 4 = 5 of those 20 non - red roses are yellow. Hence, 20 - 5 = 15 roses are white. Therefore, 60 + 15 = 75 roses are either red or white. The answer is 75.
Question: A bear is preparing to hibernate for the winter and needs to gain 1000 pounds. At the end of summer, the bear feasts on berries and small woodland animals. During autumn, it devours acorns and salmon. It gained a fifth of the weight it needed from berries during summer, and during autumn, it gained twice that amount from acorns. Salmon made up half of the remaining weight it had needed to gain. How many pounds did it gain eating small animals?
Answer:
The bear gained 1 / 5 * 1000 = 200 pounds from berries. It gained 2 * 200 = 400 pounds from acorns. It still needed 1000 - 200 - 400 = 400 pounds. Thus, it gained 400 / 2 = 200 pounds from salmon. Therefore, the bear gained 400 - 200 = 200 pounds from small animals. The answer is 200.