A total of 5 liters of gasoline is to be poured into two empty containers with capacities of 2 liters and 6 liters, respectively, such that both containers will be filled to the same percent of their respective capacities. What amount of gasoline, in liters, must be poured into the 6-liter container?


~$4\frac{1}{2}$~

4

~$3\frac{3}{4}$~

3

~$1\frac{1}{4}$~

考题讲解

题目分析:

假设倒入 6L 容器的汽油的量为 x,则倒入 2L 容器的汽油的容量为 5-x;倒入两个容器后汽油的比例相同则有:~$\frac{x}{6}=\frac{5-x}{2}$~ ,解这个一元一次方程;

两边同时乘以 6; x=3(5-x);

 x=15-3x;

4x=15; 

x=15/4; 

x=3~$\frac{3}{4}$~

综上,答案就是 C.

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