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
~$1\frac{1}{4}$~
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.
(5-x)/2=x/6 x=3.75