2003 AMC 12B 第 2 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。

2.

Al 得了 algebritis,必须连续两周每天服用一粒绿色药丸和一粒粉色药丸。绿色药丸比粉色药丸贵 $1\$1,这两周的药丸总费用为 $546\$546。一粒绿色药丸多少钱?

Al gets the disease algebritis and must take one green pill and one pink pill each day for two weeks. A green pill costs $1\$1 more than a pink pill, and Al's pills cost a total of $546\$546 for the two weeks. How much does one green pill cost?

$7\$7

$14\$14

$19\$19

$20\$20

$39\$39

答案:D
知识点:方程组一次方程
难度评级:1020
解答:

1414 天,两粒药丸的每日费用为 54614=39. \frac{546}{14} = 39.

设一粒绿色药丸价格为 gg。粉色药丸价格为 g1g - 1,所以 解得 g=20g = 20g+(g1)=39, g + (g - 1) = 39,

因此,正确答案是 D

Over 1414 days the daily cost of the two pills is 54614=39. \frac{546}{14} = 39.

Let gg be the cost of a green pill. The pink pill costs g1,g - 1, so g+(g1)=39, g + (g - 1) = 39, giving g=20.g = 20.

Thus, the correct answer is D.

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