2008 AMC 12A Problem 6

Problem 6 of 25EasierAlgebra

Heather compares the price of a new computer at two different stores. Store A offers

15\%

off the sticker price followed by a

\$90

rebate, and store B offers

25\%

off the same sticker price with no rebate. Heather saves

\$15

by buying the computer at store A instead of store B. What is the sticker price of the computer, in dollars?

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Solution

Let

x

be the sticker price in dollars. Store A charges

0.85x - 90

dollars, and store B charges

0.75x

dollars. Since store A is

15

dollars cheaper,

0.85x - 90 = 0.75x - 15,

0.10x = 75

and

x = 750.

Thus, A is the correct answer.