2003 AMC 8 第 4 题
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4.
一群骑自行车和三轮车的孩子经过 Billy Bob 家。Billy Bob 数到 个孩子和 个轮子。有多少辆三轮车?
A group of children riding on bicycles and tricycles rode past Billy Bob’s house. Billy Bob counted children and wheels. How many tricycles were there?
答案:C
小提示:
如果 个孩子都骑自行车,先数轮子
If all children had bicycles, count the wheels.
大提示:
每辆三轮车比自行车多一个轮子
Each tricycle adds one wheel compared with a bicycle.
解答:
设 为自行车数量, 为三轮车数量。可列方程组: 将第一个方程乘以 ,再从第二个方程中减去所得等式,得到 。
所以正确答案是 C。
Let be the number of bicycles and be the number of tricycles. Then we can set up the following system of equations: Multiplying the first equation by and subtracting from the second equation, we get
Thus, C is the correct answer.
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