Question

一家公司销售三种不同大小的洗涤剂盒：小号（S）、中号（M）和大号（L）。中号价格比小号高 $50 \%$ ，含量比大号少 $20 \%$ 。大号含量是小号的两倍，价格比中号高 $30 \%$ 。按性价比从好到差排列这三种大小。

A company sells detergent in three different sized boxes: small (S), medium (M) and large (L). The medium size costs $50 \%$ more than the small size and contains $20 \%$ less detergent than the large size. The large size contains twice as much detergent as the small size and costs $30 \%$ more than the medium size. Rank the three sizes from best to worst buy.

$SML$

$LMS$

$MSL$

$LSM$

$MLS$

答案：E

知识点：百分数比与比例

难度评级：1550

解答：

选择方便数值：设小号价格为 $\$1.00$ ，含量为 $10$ 盎司。那么大号含量为 $20$ 盎司。

中号价格为 $\$1.50$ ，含量比大号少 $20\%$ ，即 $16$ 盎司。大号价格比中号高 $30\%$ ，即 $\$1.95$ 。

每盎司价格分别为 $S: 1.00/10=0.100$ ， $M: 1.50/16=0.09375$ ， $L: 1.95/20=0.0975$ 。

从好到差的顺序是 $M,L,S$ 。

所以正确答案是 E。

Choose convenient values: let the small box cost $\$1.00$ and contain $10$ ounces. Then the large box contains $20$ ounces.

The medium box costs $\$1.50$ and contains $20\%$ less than the large box, or $16$ ounces. The large box costs $30\%$ more than the medium, or $\$1.95$ .

The costs per ounce are $S: 1.00/10=0.100$ , $M: 1.50/16=0.09375$ , and $L: 1.95/20=0.0975$ .

From best to worst buy, the order is $M,L,S$ .

Thus, E is the correct answer.

2005 AMC 8 第 22 题

答案：E

难度评级：1550

解答：

其他年份的第 22 题