Question

A vessel contains mixture of milk and water in the ratio of 3 :8.1/4 th of the mixture taken out and replaced with mango juice and this process repeated one more time. If the quantity of milk In final mixture is 40.5 liters, then find the initial quantity of water in the mixture?​

Answer 1

25.7 liters ...................

Answer 2

Step-by-step explanation:

let's be the mixture= x

then.... milk's ratio=3×x=3x

and..... water's. "=8×x=8x

if milk's quantity is 40.5L.

then. 3x=40.5

x=40.5/3= 13.5L

so now water's quantity= 8×13.5= 108L

3x+8x=?

so 40.5+108=148.5L.

taken out mixture= 3x+8x-2(1/4)

=148.5-2/4

= 148

now new mixture= 148L.

and the ratio of milk and water=3:8

then.... new quantity= 3x+8x=148

11x=148

x=148/11=13.45

so new quantity of water =8x....=8×13.45=10.72L.