1989 AJHSME Problem 21

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

Full credit goes to MAA for authoring these problems. These problems were taken on the AOPS website.