Question

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?

$750$

$900$

$1000$

$1050$

$1500$

Answer: A

Concepts:percentage linear equation

Difficulty rating: 1190

Solution:

Let $x$ be the sticker price. Heather pays $0.85x - 90$ at store A and $0.75x$ at store B.

Since store A is $\$15$ cheaper, $0.85x - 90 = 0.75x - 15,$ which gives $0.1x = 75,$ so $x = 750.$

Thus, the correct answer is A.

2008 AMC 10A Problem 8

Answer: A

Difficulty rating: 1190

Solution:

Problem 8 in Other Years