AMC 8 1986 Problem 16
AMC8 1986 年第 16 题
统计与数据图表★★★☆☆
A bar graph shows the number of hamburgers sold by a fast food chain each season. However, the bar indicating the number sold during the winter is covered by a smudge. If exactly 25% of the chain's hamburgers are sold in the fall, how many million hamburgers are sold in the winter?
一张柱状图显示了一家快餐连锁店每个季节的汉堡销量。但是，显示冬季销量的柱条被污渍遮盖了。如果该连锁店恰好 25% 的汉堡在秋季销售，冬季销售了多少百万个汉堡？
- A.2.5
- B.3
- C.3.5
- D.4
- E.4.5
正确答案 · Correct Answer
A
解析 · Solution
Solution 1
During the fall, 4 million hamburgers were sold. Since this is 25%, or of the company's hamburgers sold, a total of million hamburgers were sold in total. Since 4.5 + 5 + 4 = 13.5 million hamburgers were sold in the other three seasons, 16 - 13.5 = 2.5 million hamburgers were sold in the winter.
Let be the number of hamburgers sold in the winter, in millions. Then a total of 4.5 + 5 + 4 + x = 13.5 + x million hamburgers were sold. Since 25% of the hamburgers were sold in the fall, 0.25(13.5 + x) = 4. Solving this equation yields x = 2.5.
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