instruction:
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.
question:
At a certain grocery store, \(a\) customers each spend an average of \$30 every \(b\) hours. In dollars, how much do customers spend at this store in \(c\) hours?
(A)\(\frac { 30c } { ab } \) (B)\(\frac { bc } { 30a } \) (C)\(\frac { 30bc } { a } \) (D)\(\frac { 30ac } { b } \) (E)\(\frac { 30b } { ac } \)
answer:
D


question:
Mrs. James gave a test to her two geometry classes. The 24 students in her first-period class had a class average (arithmetic mean) of 78. The average of the 26 students in her second-period class was 83. What was the average for all students taking the exam?
(A)79.4 (B)80.5 (C)80.6 (D)81.2 (E)81.4
answer:
C


question:
The volume of pitcher I is A ounces, and the volume of pitcher II is B ounces, with B > A. If pitcher II is full of water and pitcher I is empty, and if just enough water is poured from pitcher II to fill pitcher I, what fraction of pitcher II is now full?
(A)\(\frac { 1 } { 2 } \) (B)\(\frac { 1 } { B } \) (C)\(\frac { A } { B } \) (D)\(\frac { A - B } { B } \) (E)\(\frac { B - A } { B } \)
answer:

E