Question

Heather 比较两家商店中一台新电脑的价格。A 店在标价基础上打 $15\%$ 折后再返还 $\$90$ ，B 店在相同标价基础上打 $25\%$ 折但没有返还。Heather 在 A 店购买比在 B 店购买节省 $\$15$ 。这台电脑的标价是多少美元？

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：1190

解答：

设标价为 $x$ 。Heather 在 A 店支付 $0.85x - 90$ ，在 B 店支付 $0.75x$ 。

因为 A 店便宜 $\$15$ ， $0.85x - 90 = 0.75x - 15,$ 解得 $0.1x = 75$ ，所以 $x = 750$ 。

所以正确答案是 A。

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 第 8 题

答案：A

难度评级：1190

解答：

其他年份的第 8 题