You are given a mathematical question described with an open-ended vocabulary. Questions in this task involve real-world situations, describing a mathematical problem. You are also given 4 or 5 answer options (associated with "A", "B", "C", "D", "E"). Do not generate anything else apart from one of the following characters: 'A', 'B, 'C', 'D', 'E'. LaTeX mathematical format (the standard way to express mathematical expressions in the typesetting software known as LaTeX) is used to express equations. Each question is solvable with high school math knowledge. Give only one answer for each question.

Q: A certain brand of soup contains 10 percent tomato paste by volume. Which of the following expressions represents the percent of tomato paste by volume in a mixture of s cups of soup and w cups of water?
(A)\(\frac{10s}{w}\)\% (B)\(\frac{10}{s + w}\)\% (C)\(\frac{s + w}{10}\)\% (D)\(\frac{10s}{s + w}\)\% (E)\(\frac{s}{10(s + w)}\)\%

A: D
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Q: Last year Jose sold a painting for \$2000. If he made a 25\% profit on the sale, how much had he paid for the painting?
(A)\$1200 (B)\$1500 (C)\$1600 (D)\$2400 (E)\$2500

A: C
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Q: The number of instances of illness that a person has in one year is inversely proportional to the average (arithmetic mean) number of hours that person sleeps per night. If last year Lori slept an average of 8 hours per night and was ill 3 times, how many times would she have been ill if she had slept an average of 6 hours per night?
(A)2.25 (B)3 (C)3.5 (D)4 (E)4.75

A:
D
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