2013 AMC 8 Problem 2

Below is the video solution and professionally curated solution for Problem 2 of the 2013 AMC 8, from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 2013 AMC 8 solutions, or check the answer key.

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Concepts:percentagemoney

Difficulty rating: 450

2.

A sign at the fish market says, "50%50 \% off, today only: half-pound packages for just $3\$3 per package." What is the regular price for a full pound of fish, in dollars?

66

99

1010

1212

1515

Video solution:
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Written solution:

During the sale, the price for half a pound is $3,\$3, and therefore, the price for a full pound is 2$3=$6.2 \cdot \$3 = \$6.

The sale price is 50%50\% off the regular price, and so the regular price is twice the sale price. Therefore, the regular price for a full pound of fish is 2$6=$12.2 \cdot \$6 = \$12.

Thus, D is the correct answer.

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