AMC12 2003 B

AMC12 2003 B · Q2

AMC12 2003 B · Q2. It mainly tests Linear equations, Arithmetic misc.

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

Al 得了 algebritis 病，必须每天服用一颗绿色药丸和一颗粉色药丸，持续两周。一颗绿色药丸的价格比一颗粉色药丸贵 $\$1$，两周的药费总共是 $\$546$。一颗绿色药丸多少钱？

(A) 7 7

(B) 14 14

(D) 20 20

(E) 39 39

Answer

Correct choice: (D)

正确答案：（D）

Solution

Because there are $14$ days in two weeks, Al spends $546/14 = 39$ dollars per day for the cost of a green pill and a pink pill. If the green pill costs $x$ dollars and the pink pill $x-1$ dollars, the sum of the two costs $2x-1$ should equal $39$ dollars. Then the cost of the green pill $x$ is $\boxed{\textbf{(D) }\$20}$.

因为两周有 $14$ 天，Al 每天在一颗绿色药丸和一颗粉色药丸上的花费是 $546/14 = 39$ 美元。若绿色药丸每颗 $x$ 美元，粉色药丸每颗 $x-1$ 美元，则两者之和 $2x-1$ 应等于 $39$ 美元。因此绿色药丸的价格 $x$ 为 $\boxed{\textbf{(D) }\textdollar 20}$。

Topics