2003 AMC 8 Problem 9

Attempt Problem 9 of the 2003 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 2003 AMC 8 solutions, or check the answer key.

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9.

Art's cookies sell for 6060¢ each. To earn the same amount from a single batch, how much should one of Roger's cookies cost?

1818¢

2525¢

4040¢

7575¢

9090¢

Answer: C
Concepts:arearatio and proportion
Difficulty rating: 1060
Solution:

Art makes 1212 cookies that sell for 6060 cents each, so one batch earns 1260=72012\cdot60=720 cents.

The batch has 1212=14412\cdot12=144 square inches of dough area, and each Roger cookie has area 42=84\cdot2=8. Thus Roger makes 144÷8=18144\div8=18 cookies.

To earn 720720 cents from 1818 cookies, each Roger cookie should cost 720÷18=40720\div18=40 cents.

Thus, C is the correct answer.

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