TASK DEFINITION: You are given a math word problem and you are supposed to make use of mathematical concepts like probability, combinatorics, linear equations, sequences/series, or simple operators like addition, subtraction, division, or multiplication to answer the given question. Choose the best option from the 5 given options and report that option.
PROBLEM: Question: A theater box office sold an average (arithmetic mean) of 65 tickets per staff member to a particular movie. Among the daytime staff, the average number sold per member was 75, and among the evening staff, the average number sold was 60. If there are no other employees, what was the ratio of the number of daytime staff members to the number of evening staff members?

 Option A: 1:2

 Option B: 1:4

 Option C: 5:11

 Option D: 1:3

 Option E: 13:15

SOLUTION: Option A

PROBLEM: Question: If x represents the sum of the interior angles of a triangle and y represents the sum of the interior angles of a regular pentagon, then the addition x and y is equal to the sum of the interior angles of what geometric shape?

 Option A: Hexagon

 Option B: Square

 Option C: Rhombus

 Option D: Trapezoid

 Option E: Pentagon

SOLUTION: Option A

PROBLEM: Question: Two hoses are pouring water into an empty pool. Hose 1 alone would fill up the pool in 6 hours. Hose 2 alone would fill up the pool in 9 hours. How long would it take for both hoses to fill up two-thirds of the pool?

 Option A: 5/12 hours

 Option B: 5/8 hours

 Option C: 8/5 hours

 Option D: 12/7 hours

 Option E: 12/5 hours

SOLUTION:
Option E