1991 AHSME Problems/Problem 16
Problem
One hundred students at Century High School participated in the AHSME last year, and their mean score was 100. The number of non-seniors taking the AHSME was more than the number of seniors, and the mean score of the seniors was higher than that of the non-seniors. What was the mean score of the seniors?
(A) (B) (C) (D) (E)
Solution
Solution by e_power_pi_times_i
Let and denote the numbers of seniors and non-seniors, respectively. Then , so , . Let and denote the mean score of seniors and non-seniors, respectively. Then . The answer is .
See also
1991 AHSME (Problems • Answer Key • Resources) | ||
Preceded by Problem 15 |
Followed by Problem 17 | |
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