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求大牛解释prep2007 第23题

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楼主
发表于 2013-7-4 19:15:10 | 只看该作者 回帖奖励 |倒序浏览 |阅读模式
From 1978 to 1988,beverage containers accounted for a steadily decreasing percentage of the totalweight of household garbage in the United States.  The increasingly widespread practice ofrecycling aluminum and glass was responsible for most of this decline.  However, although aluminum recycling was morewidely practiced in this period than glass recycling, it was found that theweight of glass bottles in household garbage declined by a greater percentagethan the weight of aluminum cans.
Which of the following,if true of the United States in the period 1978 to 1988, most helps to accountfor the finding?
(A) Glass bottles aresignificantly heavier than aluminum cans of comparable size.
(B) Recycled aluminumcans were almost all beverage containers, but a significant fraction of therecycled glass bottles had contained products other than beverages.
(C) Manufacturersreplaced many glass bottles, but few aluminum cans, with plastic containers.
(D) The total weight ofglass bottles purchased by households increased at a slightly faster rate thanthe total weight of aluminum cans.
(E) In many areas,glass bottles had to be sorted by color of the glass before being recycled,whereas aluminum cans required no sorting.

A和C都可以解释题目中的矛盾啊,为什么正确答案是C?
我觉得A对是因为题目中说的是weight而不是数量在下降。即使玻璃瓶的数量下降少于铝罐,但只要重量下降就行啦~~~
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沙发
发表于 2013-7-4 20:40:09 | 只看该作者
之前我做这题也选了A,后来看了解释。。只说说个人理解,望指正。。
这就是一个绝对值和相对值的问题,根据最后一句话,说的是"重量下降的百分比"而不是“下降的重量",如果像做数学的时候一样把式子列出来,就可以知道这个求得百分比的式子只跟数量有关系而跟每个瓶子的重量无关。那么就得寻求一个能导致额外的玻璃瓶数量减少的原因,那就是C了。
(至于那个式子。。假设玻璃瓶重a,铝罐重b,两种瓶子之前各有100个,然后玻璃瓶回收了x个,铝罐回收了y个,那么两者的重量下降百分比分别就是(100*a-xa)/100*a和(100*b-yb)/100*b,然后其实a、b都可以约掉了,就只跟x、y有关了。)
板凳
 楼主| 发表于 2013-7-4 20:49:13 | 只看该作者
苏木苏木 发表于 2013-7-4 20:40
之前我做这题也选了A,后来看了解释。。只说说个人理解,望指正。。
这就是一个绝对值和相对值的问题,根据 ...

谢谢这位朋友啊,醍醐灌顶啊,我懂了
我对percentage的理解有误,应该是玻璃瓶和铝罐之前和之后自己作比较,我理解成了两者之间作比较。想通了,谢谢哈!
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