1989 AJHSME Problems/Problem 21

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Problem

Jack had a bag of $128$ apples. He sold $25\%$ of them to Jill. Next he sold $25\%$ of those remaining to June. Of those apples still in his bag, he gave the shiniest one to his teacher. How many apples did Jack have then?

$\text{(A)}\ 7 \qquad \text{(B)}\ 63 \qquad \text{(C)}\ 65 \qquad \text{(D)}\ 71 \qquad \text{(E)}\ 111$

Solution

First he gives $128\times .25 = 32$ apples to Jill, so he has $128-32=96$ apples left. Then he gives $96\times .25 = 24$ apples to June, so he has $96-24=72$ left.

Finally, he gives one to the teacher, leaving $71\rightarrow \boxed{\text{D}}$

1989 AJHSME (Problems • Resources)
Preceded by Problem 20	Followed by Problem 22
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1989 AJHSME Problems/Problem 21

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