2013 AMC 8 Problem 12

Attempt Problem 12 of the 2013 AMC 8 below, then check your answer against the video solution and professionally curated solution 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.

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

12.

At the 20132013 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
Answer: B
Concepts:percentage
Small hint:
Compute the price paid for each pair of sandals.
Big hint:
Compare the total savings with the regular total of $150\$150.
Video solution:
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Written solution:
Javier saved 0.40⋅50=200.40 \cdot 50 = 20 dollars on the second pair. He also saved 502=25\frac{50}{2} = 25 dollars on the third pair. This shows that he saved a total of 4545 dollars.
As 45150=310=0.30,\frac{45}{150} = \frac{3}{10} = 0.30, we can conclude that Javier saved 30%30 \% compared to the regular price.
Thus, B is the correct answer.
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