2005 AMC 8 第 11 题

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11.

Bergville 的销售税率为 6%6\%。Bergville Coat Closet 促销期间,一件外套在 $90.00\$90.00 原价的基础上打 20%20\% 折扣。两名店员 Jack 和 Jill 独立计算账单。Jack 先按 $90.00\$90.006%6\% 销售税,再从总额中减去 20%20\%。Jill 先从 $90.00\$90.00 中减去价格的 20%20\%,再对打折后的价格加 6%6\% 销售税。Jack 的总额减去 Jill 的总额是多少?

The sales tax rate in Bergville is 6%6\%. During a sale at the Bergville Coat Closet, the price of a coat is discounted 20%20\% from its $90.00\$90.00 price. Two clerks, Jack and Jill, calculate the bill independently. Jack rings up $90.00\$90.00 and adds 6%6\% sales tax, then subtracts 20%20\% from this total. Jill rings up $90.00\$90.00, subtracts 20%20\% of the price, then adds 6%6\% of the discounted price for sales tax. What is Jack’s total minus Jill’s total?

$1.06-\$ 1.06

$0.53-\$ 0.53

$0\$ 0

$0.53\$ 0.53

$1.06\$ 1.06

答案:C
知识点:百分数
难度评级:1060
解答:

Jack 的总额是 90.001.060.8090.00\cdot1.06\cdot0.80 美元。

Jill 的总额是 90.000.801.0690.00\cdot0.80\cdot1.06 美元。

因为乘法满足交换律,这两个乘积相等,所以 Jack 的总额减去 Jill 的总额为 $0\$0

所以正确答案是 C

Jack’s total is 90.001.060.8090.00\cdot1.06\cdot0.80 dollars.

Jill’s total is 90.000.801.0690.00\cdot0.80\cdot1.06 dollars.

These products are equal because multiplication is commutative, so Jack’s total minus Jill’s total is $0\$0.

Thus, C is the correct answer.

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