Question

Two liquids a and b are in the ratio 5:1 in container 1 and 1:3 in container 2. In what ratio should the contents of the two containers be mixed so as to obtain a mixture of a and b in the ratio of 1:1?

Answer 1

Explanation:

Container 1:

Let each part be x.

Vol of A= 5x ; Vol of B= x ; Total Vol= 6x.

Container 2:

Let each part be y.

Vol of A= y ; Vol of B= 3y; Total Vol= 4y.

After Mixing:

Vol of A= 5x + y

Vol of B= x + 3y

As Ratio of A:B is 1:1, hence

5x+y = x+3y

2x = y

So,

Ratio of Total Vol 1 : Total Vol 2 =

6x / 4y = 6x / 4(2x) = 6/8 = 3/4.