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1987 AJHSME Problem 16

Source:

June 25, 2011

Problem Statement

Joyce made 1212 of her first 3030 shots in the first three games of this basketball game, so her seasonal shooting average was 40%40\% . In her next game, she took 1010 shots and raised her seasonal shooting average to 50%50\% . How many of these 1010 shots did she make?
(A) 2(B) 3(C) 5(D) 6(E) 8\text{(A)}\ 2 \qquad \text{(B)}\ 3 \qquad \text{(C)}\ 5 \qquad \text{(D)}\ 6 \qquad \text{(E)}\ 8
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