2008 AMC 12A Problem 6
Attempt Problem 6 of the 2008 AMC 12A 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 2008 AMC 12A solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
6.
Heather compares the price of a new computer at two different stores. Store A offers off the sticker price followed by a rebate, and store B offers off the same sticker price with no rebate. Heather saves by buying the computer at store A instead of store B. What is the sticker price of the computer, in dollars?
Answer: A
Small hint:
Write each store’s price in terms of the sticker price
Big hint:
Store A’s price is dollars less than store B’s price
Solution:
Let be the sticker price in dollars. Store A charges dollars, and store B charges dollars.
Since store A is dollars cheaper, so and
Thus, A is the correct answer.
Problem 6 in other years
- 1950 AMC 12
- 1951 AMC 12
- 1952 AMC 12
- 1953 AMC 12
- 1954 AMC 12
- 1955 AMC 12
- 1956 AMC 12
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