2005 AMC 8 第 22 题
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所有题目均经美国数学协会（MAA）官方合法授权使用。
22.
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 ，含量比大号少 。大号含量是小号的两倍，价格比中号高 。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 more than the small size and contains less detergent than the large size. The large size contains twice as much detergent as the small size and costs more than the medium size. Rank the three sizes from best to worst buy.
小提示：
为小号和大号选择方便的数量
Choose convenient numbers for the small and large sizes.
大提示：
比较每种大小的每盎司价格
Compare price per ounce for each size.
解答：
选择方便数值：设小号价格为 ，含量为 盎司。那么大号含量为 盎司。
中号价格为 ，含量比大号少 ，即 盎司。大号价格比中号高 ，即 。
每盎司价格分别为 ，，。
从好到差的顺序是 、、。
所以正确答案是 E。
Choose convenient values: let the small box cost and contain ounces. Then the large box contains ounces.
The medium box costs and contains less than the large box, or ounces. The large box costs more than the medium, or .
The costs per ounce are , , and .
From best to worst buy, the order is .
Thus, E is the correct answer.
其他年份的第 22 题
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