1987 AJHSME Problems/Problem 16

Problem

Joyce made $12$ of her first $30$ shots in the first three games of this basketball season, so her seasonal shooting average was $40\%$ . In her next game, she took $10$ shots and raised her seasonal shooting average to $50\%$ . How many of these $10$ shots did she make?

$\text{(A)}\ 2 \qquad \text{(B)}\ 3 \qquad \text{(C)}\ 5 \qquad \text{(D)}\ 6 \qquad \text{(E)}\ 8$

Solution

After the fourth game, she took $40$ shots, $50\%$ of which she made, so she made $40\times .5=20$ shots. Twelve of them were made in the first three games, so in the last game she made $20-12=8$ shots.

$\boxed{\text{E}}$

1987 AJHSME (Problems • Answer Key • Resources)
Preceded by Problem 15	Followed by Problem 17
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25
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1987 AJHSME Problems/Problem 16

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