Question

Heather 比较两家商店中一台新电脑的价格。A 店先按标价打 $15\%$ 折扣，再返还九十美元；B 店对同一标价打 $25\%$ 折扣，没有返还。Heather 在 A 店购买比在 B 店购买节省十五美元。电脑标价是多少美元？

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?

$750$

$900$

$1000$

$1050$

$1500$

答案：A

知识点：百分数一次方程

难度评级：1270

解答：

设标价为 $x$ 美元。A 店价格为 $0.85x - 90$ ，B 店价格为 $0.75x$ 。

因为 A 店便宜 $15$ 美元，所以从而 $0.10x = 75$ ， $x = 750$ 。 $0.85x - 90 = 0.75x - 15,$

所以正确答案是 A。

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, $0.85x - 90 = 0.75x - 15,$ so $0.10x = 75$ and $x = 750.$

Thus, A is the correct answer.

2008 AMC 12A 第 6 题

答案：A

难度评级：1270

解答：

其他年份的第 6 题