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
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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