2013 AMC 8 Problem 12

Below is the video solution and professionally curated solution for Problem 12 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:percentage

Difficulty rating: 1020

12.

At the 2013 Winnebago County Fair a vendor is offering a "fair special" on sandals. If you buy one pair of sandals at the regular price of $50,\$50, you get a second pair at a 40%40 \% discount, and a third pair at half the regular price.

Javier took advantage of the "fair special" to buy three pairs of sandals. What percentage of the $150\$150 regular price did he save?

2525

3030

3333

4040

4545

Video solution:
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Written solution:

Javier saved 0.4050=200.40 \cdot 50 = 20 dollars on the second pair. He also saved 50/2=2550 / 2 = 25 dollars on the third pair. This shows that he saved a total of 4545 dollars.

As 45/150=3/10=.30,45 / 150 = 3 / 10 = .30, we can conclude that Javier saved 30%30 \% compared to the regular price.

Thus, B is the correct answer.

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