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Mathematics>Standard Multiple Choice

Read the following SAT test question and then click on a button to select your answer.

In a survey, a group of students from Westville High School were asked about their favorite movie genre. Each student in the group selected exactly one movie genre, and the data collected are summarized in the circle graph above. If 40 more students chose Action than Drama, how many students were surveyed in total?

(A) 100
(B) 150
(C) 200
(D) 250
(E) 300

答案和解析

答案：D

解析：

From the circle graph, 30 % of the students surveyed chose Action and 14 % chose Drama as their favorite movie genre. Hence 40 students is equal to 30 % minus 14 % = 16 % of the total number of students surveyed. Let N be the number of students surveyed; then the last statement can be written symbolically as 0.16 times N = 40. Solving for N gives N = 250. Therefore, the total number of students surveyed was 250.