AMC10 2008 A

AMC10 2008 A · Q8

AMC10 2008 A · Q8. It mainly tests Linear equations, Percent.

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?

Heather在两家不同的商店比较了一台新电脑的价格。A店先打85折（15% off），再返现90美元；B店直接打75折（25% off），无返现。Heather在A店比B店节省了15美元。电脑的标价是多少美元？

(A) 750 750

(B) 900 900

(D) 1050 1050

(E) 1500 1500

Answer

Correct choice: (A)

正确答案：（A）

Solution

Let $x$ denote the sticker price, in dollars. Heather pays $0.85x - 90$ dollars at store A and would have paid $0.75x$ dollars at store B. Thus the sticker price $x$ satisfies $0.85x - 90 = 0.75x - 15$, so $x = 750$.

设标价为$x$美元。Heather在A店支付$0.85x - 90$美元，在B店支付$0.75x$美元。因此$0.85x - 90 = 0.75x - 15$，解得$x = 750$。

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