1988 AMC 8 Problem 23

Attempt Problem 23 of the 1988 AMC 8 below, then check your answer against the professionally curated solution from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 1988 AMC 8 solutions, or check the answer key.

All problems are used with official legal permission of the Mathematical Association of America (MAA).

23.

Maria buys computer disks at a price of 44 for $5\$5 and sells them at a price of 33 for $5.\$5. How many computer disks must she sell in order to make a profit of $100?\$100?
100100
120120
200200
240240
12001200
Answer: D
Concepts:ratio and proportion
Small hint:
Work with a convenient batch of 1212 disks, since 1212 is a multiple of both 44 and 33
Big hint:
A dozen disks costs $15\$15 and sells for $20,\$20, a profit of $5\$5 per dozen
Solution:
Consider disks in dozens, since 1212 is a multiple of both 44 and 3.3. A dozen disks costs 3×$5=$153 \times \$5 = \$15 to buy and sells for 4×$5=$20,4 \times \$5 = \$20, for a profit of $5\$5 per dozen.
To make $100\$100 profit she needs 1005=20\dfrac{100}{5} = 20 dozen, which is 20×12=24020 \times 12 = 240 disks.
Thus, the correct answer is D .
LIVE by Po-Shen Loh
Programs

LIVE Classes

Self-Paced Classes

Stars

Scholarship

About Us

Who Is Po-Shen Loh?

Email Contact

Newsletter

Jobs

Become a Star

For a more Thought Full world.

© 2026 Expii, Inc.