1989 AMC 8 Problem 21

Below is the professionally curated solution for Problem 21 of the 1989 AMC 8, from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 1989 AMC 8 solutions, or check the answer key.

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Concepts:percentage

Difficulty rating: 860

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?

$7$

$63$

$65$

$71$

$111$

Solution:

After selling $25\%$ to Jill, Jack keeps $\frac{3}{4} \times 128 = 96$ apples. After selling $25\%$ of those to June, he keeps $\frac{3}{4} \times 96 = 72$ apples.

He then gives $1$ to his teacher, leaving $72 - 1 = 71.$

Thus, the correct answer is D .

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