Question

One ounce of solution x contains only ingredients a and b in the ratio of 2:3 one ounce of solution y count aims only ingredients a and b in the ratio of 1:2 if solution z is created by mixing solutions x and y in the ration of 3:11 then 2520 ounces of solution z contains how many ounces of a

Answer 1

Volume of a in z = 876 ounces

Explanation:

For z, the ratio of x and y is 3 : 11

x : y = 3 : 11 , which means in 14 parts of solution z : x will be 3 parts and y will be 11 parts

So, in 2520 ounces solution of z ,

`x=(2520*3)/(14)=540\\y=(2520*11)/(14)=1980`

Volume of a in z = { Volume of a in x + Volume of b in x }

Therefore,

`Volume \thinspace of \thinspace a\thinspace in\thinspace x = 540\cdot (2)/(5) = 216\\Volume \thinspace of \thinspace b \thinspace in \thinspace x = 1980\cdot (1)/(3)=660`

So, Volume of a in z = 876 ounces