1995 AMC 8 第 10 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。

10.

一件夹克和一件衬衫原价分别为八十美元和四十美元。促销期间,Chris 以 40%40\% 折扣买了八十美元的夹克,又以 55%55\% 折扣买了四十美元的衬衫。节省的总金额是原总价的百分之几?

A jacket and a shirt originally sold for $80 and $40, respectively. During a sale Chris bought the $80 jacket at a 40%40\% discount and the $40 shirt at a 55%55\% discount. The total amount saved was what percent of the total of the original prices?

45%45\%

4712%47\tfrac12\%

50%50\%

7916%79\tfrac16\%

95%95\%

答案:A
知识点:百分数
难度评级:930
解答:

夹克折扣节省 40%40\%$80=$32\$80 = \$32,衬衫折扣节省 55%55\%$40=$22\$40 = \$22。总共节省 $32+$22=$54\$32 + \$22 = \$54

原总价是 $80+$40=$120\$80 + \$40 = \$120,所以节省比例是 54120=0.45=45%\dfrac{54}{120} = 0.45 = 45\%

所以正确答案是 A

The jacket discount saves 40%40\% of $80=$32,\$80 = \$32, and the shirt discount saves 55%55\% of $40=$22.\$40 = \$22. The total saved is $32+$22=$54.\$32 + \$22 = \$54.

The original total is $80+$40=$120,\$80 + \$40 = \$120, so the percent saved is 54120=0.45=45%.\dfrac{54}{120} = 0.45 = 45\%.

Thus, the correct answer is A .

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