instruction:
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.
question:
Question: A certain basketball team played seven games and scored an average of 50 points per game. If, in the team’s first five games, it scored 45, 39, 61, 50, and 43 points, what was the average (arithmetic mean) number of points scored over the last two games?

 Option A: 65

 Option B: 81

 Option C: 82

 Option D: 56

 Option E: Cannot be determined from the information given.
answer:
Option D


question:
Question: A, B, C are three consecutive positive integers (A>B>C). What is the value of the expression 2A +B +2C?

 Option A: 6A+7.

 Option B: 5A+1.

 Option C: 5A-5.

 Option D: 6A-5.

 Option E: 6A-7.
answer:
Option C


question:
Question: A theater box office sold an average (arithmetic mean) of 68 tickets per staff member to a particular movie. Among the daytime staff, the average number sold per member was 80, 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: 2:3

 Option B: 1:4

 Option C: 5:6

 Option D: 7:11

 Option E: 3:7
answer:

Option A