A vessel contains 24 litres of milk, 4 litres are withdrawn and replaced by water.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?
Answers
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
Answer:
Step-by-step explanation:
As given:
Vessel contains milk (x) = 24 Litres
Quantity of milk taken out (y) = 4 Litres (Replaced by water)
After n operations, the quantity of pure liquid = [x 〖(1- y/x)〗^n ] units.
After 2 operations, the quantity of pure liquid = [24 〖(1- 4/24)〗^2 ] units.
the quantity of pure liquid = [24 × 20/24×20/24] units.
the quantity of pure liquid = 16.66 units.