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:
A jar contained red and green marbles in a ratio of 3 to 4. After 6 red marbles are added to the jar, the ratio becomes 3 to 2. How many green marbles does the jar now contain?
(A)3 (B)4 (C)6 (D)8 (E)14
answer:
D


question:
An arrow is shot upward on the moon with an initial velocity of 60 meters per second and returns to the surface after 60 seconds. If the height is given by the formula \(h = t(60 - t)\), what is the maximum height that the arrow reaches?
(A)300 meters (B)600 meters (C)900 meters (D)1200 meters (E)1500 meters
answer:
C


question:
The wholesale price of a car is w dollars. The retail price of this car is r percent greater than the wholesale price. During a special promotion, the retail price of the car is then discounted by s percent. Which of the following expressions represents the price, in dollars, of this car during the special promotion?
(A)\(w(\frac { r } { 100 } )(\frac { s } { 100 } )\) (B)\(w(1 + \frac { r } { 100 } )(1 -\frac { s } { 100 } )\) (C)\(w(\frac { rs } { 100 } )\) (D)\(w + \frac { wr } { 100 } - \frac { ws } { 100 } \) (E)\(w(\frac { wr } { 100 } - \frac { ws } { 100 } )\)
answer:

B