2026 AMC 8 第 7 题

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7.

Mika 想估计她的电动自行车充满电能骑多远。两次骑行一共骑了 4040 英里。第一次用了 12\frac{1}{2} 的电量,第二次用了 310\frac{3}{10} 的电量。充满电大约可以骑多少英里?

Mika would like to estimate how far she can ride a new model of electric bike on a fully charged battery. She completed two trips totaling 4040 miles. The first trip used 12\frac{1}{2} of the total battery power, while the second trip used 310\frac{3}{10} of the total battery power. How many miles can this electric bike go on a fully charged battery?

4545

4848

5050

5252

5555

答案:C
知识点:分数比与比例
难度评级:980
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文字解答:

两次骑行一共用了 12+310=45\frac12+\frac3{10}=\frac45 的满电电量。因为 45\frac45 的续航是 4040 英里,所以充满电可以骑 40÷45=5040\div\frac45=50 英里。

The two trips used 12+310=45\frac12+\frac3{10}=\frac45 of a full battery. Since 45\frac45 of the range is 4040 miles, a full charge gives 40÷45=5040\div\frac45=50 miles.

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