1992 AMC 8 第 21 题

先试着解答 1992 AMC 8 第 21 题,然后核对你的答案与精心整理的解答,解答来自 LIVE by Po-Shen Loh。你也可以参加完整限时模拟考试、查看全部 1992 AMC 8 解答,或核对答案。

所有题目均经美国数学协会(MAA)官方合法授权使用。

21.

Northside 的鼓号队为旅行筹款。鼓手和号手分别记录销售额。图中每组的空心柱表示鼓手,阴影柱表示号手。根据下面的双条形图,哪个月份中一个小组的销售额超过另一个小组的百分比最大?
Northside’s Drum and Bugle Corps raised money for a trip. The drummers and bugle players kept separate sales records. In each pair on the graph, the open bar represents drums and the shaded bar represents bugles. According to the double bar graph of monthly sales below, in what month did one group’s sales exceed the other’s by the greatest percent?
一月
Jan
二月
Feb
三月
Mar
四月
Apr
五月
May
答案:B
知识点:数据与图表解读百分数
小提示:
对每个月,读出两根柱子的高度并求它们的差。
For each month, read off the two bar heights and find the gap between them
大提示:
用两者之差除以较小值,就得到较大值超过较小值的百分比;比较各月份的这个比值。
Divide the difference by the smaller value to find the percent by which the larger exceeds it; compare this ratio across the months
解答:
从图上读出(鼓手,号手)的销售额:一月 (7,9)(7, 9),二月 (5,3)(5, 3),三月 (9,6)(9, 6),四月 (9,12)(9, 12),五月 (8,10)(8, 10)。
较大值超过较小值的百分比分别为:一月 27≈29%\tfrac{2}{7} \approx 29\%,二月 23≈67%\tfrac{2}{3} \approx 67\%,三月 36=50%\tfrac{3}{6} = 50\%,四月 39≈33%\tfrac{3}{9} \approx 33\%,五月 28=25%\tfrac{2}{8} = 25\%。最大的是二月,此时 55 比 33 大约 67%67\%。
所以正确答案是 B。
Reading the graph gives (drums, bugles): January (7,9),(7, 9), February (5,3),(5, 3), March (9,6),(9, 6), April (9,12),(9, 12), and May (8,10).(8, 10).
The percent excess of the larger over the smaller is 27≈29%\tfrac{2}{7} \approx 29\% in January, 23≈67%\tfrac{2}{3} \approx 67\% in February, 36=50%\tfrac{3}{6} = 50\% in March, 39≈33%\tfrac{3}{9} \approx 33\% in April, and 28=25%\tfrac{2}{8} = 25\% in May. The greatest is February, where 55 exceeds 33 by about 67%.67\%.
Thus, the correct answer is B .
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