Question

A vessel contains 24 litres of milk, 4 litres are withdrawn and replaced by water. The process is repeated a second time. Find the ratio of milk to water in the resulting mixture?
a) 22:8
b) 18: 4
c) 30:16
d) 25:11

Answer 1

Answer:

d.25:11

Step-by-step explanation:

25/(25+11)=(1-(4/k))^2

25/36=(1-(4/k))^2

(5/6)^2=(1-(4/k))^2

5/6=1-4/k

4/k=1-5/6

4/k=1/6

k=4*6

k=24 lit.

Answer 2

Answer:

Step-by-step explanation:

Answer:25:11

Step-by-step explanation:

volume of milk left=initial volume of milk(1-x/v)^n

initial volume of milk=24 litres=volume of vessel

x=4 litres ; n=2 times

volume of milk left =24(1-(4/24))^2

                               =50/3

ratio of milk to water =(50/3)/(24-(50/3))

                                   =50/22

                                   = 25/11