1993 AMC 12 第 5 题

先试着解答 1993 AMC 12 第 5 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 1993 AMC 12 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。

5.

去年,一辆自行车售价 $160\$160,一个自行车头盔售价 $40\$40。今年,自行车价格上涨了 5%5\%,头盔价格上涨了 10%10\%。自行车与头盔的总价上涨了百分之多少?
Last year a bicycle cost $160\$160 and a cycling helmet cost $40.\$40. This year the cost of the bicycle increased by 5%,5\%, and the cost of the helmet increased by 10%.10\%. The percent increase in the combined cost of the bicycle and the helmet is
6%6\%
7%7\%
7.5%7.5\%
8%8\%
15%15\%
答案:A
知识点:percent increaseweighted average
小提示:
分别求出两件商品上涨的金额。
Find the dollar increase for each item
大提示:
将总上涨金额与去年的总价比较。
Compare the total increase with last year’s combined cost
解答:
自行车涨价 $8\$8,头盔涨价 $4\$4,总计涨价 $12\$12。去年的总价为 $200\$200,所以涨幅为 12200⋅100%=6%。 \frac{12}{200}\cdot100\%=6\%\text{。}因此正确答案是 A。
The bicycle increases by $8\$8 and the helmet by $4,\$4, for a total increase of $12.\$12. Last year’s combined cost was $200,\$200, so the percent increase is 12200⋅100%=6%. \frac{12}{200}\cdot100\%=6\%. Thus the correct answer is A.
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