Q: Danny is bringing his sailboat out to the ocean. When he uses his 24 square foot sail he goes 50 MPH. When he uses his 12 square foot sail he goes 20 MPH. He plans to travel 200 miles. How many hours faster is the bigger sail than the smaller one?
A: The bigger sail will make the trip in 4 hours because 200 / 50 = 4. The smaller sail will make the trip in 10 hours because 200 / 20 = 10. The bigger sail will be 6 hours faster because 10 - 4 = 6. The answer is 6.
Question: Nadine's dog rolls around in the mud. She spends 10 minutes hosing him off outside, then shampoos him three times, which takes 15 minutes per shampoo. How long does she spend cleaning her dog total?
Answer: First find the total shampoo time: 15 minutes / shampoo * 3 shampoos = 45 minutes. Then add the hosing off time to find the total cleaning time: 45 minutes + 10 minutes = 55 minutes. The answer is 55.
[Question]A captain steers his ship 100 miles north on the first day of their journey. On the second day, he sails to the east three times as far as the distance as he covered on the first day. On the third day, the ship travels further east for 110 more miles than the distance it covered on the second day. What is the total distance the ship has traveled in the three days?
[Answer]If the ship traveled 100 miles to the north, it sailed for a distance of 3 * 100 miles = 300 miles to the east on the second day. On the third day, the sheep sailed for 300 miles + 110 miles = 410 miles. The distance covered by the ship in the three days is 410 miles + 300 miles + 100 miles = 810 miles. The answer is 810.
Q: Randy has some money. He spent $10 buying his lunch. He spent a quarter of the money he had left on an ice cream cone. If the ice cream cone cost $5, what is the amount of money, in dollars, Randy had at first?
A: Randy has 5 * 4 = 20 dollars left after buying lunch. Randy had 20 + 10 = 30 dollars at first. The answer is 30.
Question: There are ten more newborn elephants than baby hippos. If an entire herd starts with 20 elephants and 35 hippos, and the female hippos, whose number is 5/7 of the total number of hippos, give birth to 5 new baby hippos each, find the number of animals that are there altogether?
Answer: The total number of female hippos is 5 / 7 * 35 = 25. If each new hippo gives birth to 5 new baby hippos, the total number of baby hippos will be 5 * 25 = 125. The population of hippos after 125 new ones are born is 125 + 35 = 160. There are ten more newborn elephants than baby hippos, meaning there are 125 + 10 = 135 new baby elephants. The population of elephants is 135 + 20 = 155. Altogether, there are 155 + 160 = 315 animals. The answer is 315.
Q: An entrepreneur is crowdfunding a new business effort. He has three different dollar amount levels of financial backing options and each level is ten times as high as the previous one. He needs to raise $12000 to get his business off the ground. He succeeded after getting two backers at the highest level of financial backing, three at the second level, and ten at the lowest level. How many dollars was the highest level of financial backing?
A:

Show your work and conclude with the exact phrasing "Therefore, the final answer is [answer]." where [answer] is just the final number or expression that solves the problem.
user
Let L represent the lowest level of financial backing. Thus, the second level is 10L and the highest level is 10 * 10L = 100L. The entrepreneur got 2 highest level backers, 3 second level backers, and 10 lowest level backers, so 2 * 100L + 3 * 10L + 10L = 200L + 30L + 10L = 240L = $12000. Therefore, the lowest level of financial backing was L = 12000 / 240 = $50. Thus, the highest level of financial backing was 10 * 10 * 50 = $5000. The answer is 5000.