2012 AMC 8 Problem 8
Attempt Problem 8 of the 2012 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 2012 AMC 8 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
8.
A shop advertises that everything is “half price in today’s sale.” In addition, a coupon gives a discount on sale prices. Using the coupon, the price today represents what percentage discount off the original price?
Answer: D
Small hint:
After half price, the sale price is of the original.
Big hint:
The coupon keeps of the sale price.
Video solution:
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Written solution:
Let be the original price. If everything is half off, we have the new price as
Having a discount makes it such that we keep of the price, so the price is
This would have off, so we get a discount of which is
Thus, the answer is D .
Problem 8 in other years
- 1985 AMC 8
- 1986 AMC 8
- 1987 AMC 8
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- 1989 AMC 8
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- 1991 AMC 8
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