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.

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23.

Maria buys computer disks at a price of 44 for $5 and sells them at a price of 33 for $5. How many computer disks must she sell in order to make a profit of $100?

100100

120120

200200

240240

12001200

Answer: D
Concepts:ratio and proportion
Difficulty rating: 1110
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 per dozen.

To make $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 .

← Problem 22#22
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