2003 AMC 10B 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,每天必须服用一颗绿色药丸和一颗粉色药丸,持续两周。绿色药丸比粉色药丸贵 $1\$1,两周的药丸总费用为 $546\$546。一颗绿色药丸多少钱?

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:钱币一次方程
难度评级:830
解答:

每天药丸费用为 546÷14=39546 \div 14 = 39 美元。设绿色药丸价格为 xx,则粉色药丸价格为 x1x-1,所以 x+(x1)=39x+(x-1)=39,解得 x=20x=20

所以正确答案是 D

Each day's pills cost 546÷14=39546 \div 14 = 39 dollars. If xx is the cost of a green pill, then the pink pill costs x1,x-1, so x+(x1)=39.x+(x-1)=39. Solving gives x=20.x=20.

Thus, the correct answer is D.

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