Question: A vendor at the market is selling sunglasses for $30 each. He has to spend a certain amount to buy these sunglasses. He sells 10 pairs in a day. He then takes half his profits and uses it to buy a new sign, which costs $20. How much does each pair of sunglasses cost him to buy?
Answer: Step-by-step reasoning process: His profits were $40 because 20 / .5 = 40. He made $300 selling sunglasses because 10 x 30 = 300. His costs for the sunglasses were $260 because 300 - 40 = 260. The sunglasses cost him $26 each because 260 / 10 = 26.
So the answer is 26.

Question: Out of the 400 emails that Antonia received in her mail, 1/4 were spam emails, while 2/5 of the remaining emails were promotional messages. If the rest of the emails were important emails, calculate the total number of important emails in her inbox.
Answer: Step-by-step reasoning process: Out of the 400 emails, 1 / 4 * 400 = 100 emails were spam emails. The number of emails that were not spam emails is 400 - 100 = 300. 2 / 5 of the emails which were not spam were promotional emails, a total of 2 / 5 * 300 = 120 emails. If the rest of the emails were important emails, there were 300 - 120 = 180 important emails.
So the answer is 180.

Question: Magdalena has an apple tree on their farm, producing very few apples each year for a while now. However, this year, the apple tree yield was excellent, and it grew 200 apples. Magdalena picked 1/5 of the fruits on the first day, twice that number on the second day, and 20 more apples than he picked on the first day on the third day. Calculate the total number of apples remaining in the tree.
Answer: Step-by-step reasoning process: Magdalena picked 1 / 5 * 200 apples = 40 apples on the first day. On the second day, she picked 2 * 40 apples = 80 apples from the tree. The total number of apples that he picked on the third day is 40 apples + 20 apples = 60 apples. In total, she picked 40 apples + 80 apples + 60 apples = 180 apples in the three days. The total number of apples remaining in the tree is 200 apples - 180 apples = 20 apples.
So the answer is 20.

Question: It takes John 13 seconds to run 100 meters. He only goes 4 meters in the first second. He then maintains the same speed for the rest of the race. James is 2 m/s faster at the top speed and he can run the first 10 meters in 2 seconds. How long does it take James to run 100 meters?
Answer:

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.
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Step-by-step reasoning process: John runs 100 - 4 = 96 meters once he reaches his max speed. He runs it in 13 - 1 = 12 seconds. So he runs at a speed of 96 / 12 = 8 m / s. So that means James's top speed is 8 + 2 = 10 m / s. He has to run 100 - 10 = 90 meters at his top speed. So he runs that at 90 / 10 = 9 seconds. So he takes 9 + 2 = 11 seconds to run 100 meters.
So the answer is 11.