Question

Three pots have the same volume. the ratio of milk and water in first, second and third pots is 3 : 2, 7 : 3 and 11 : 4 respectively. if the liquid of three pots is mixed, then the ratio of milk and water in the mixture is. answer and i mark u brainliest

Answer 1

7 : 17

Step-by-step explanation:

According to your question,

There are 2 identical glasses i.e they have same shape and size.

One is filled with 1/3rd of its capacity and other one is filled 1/4 th of its capacity.

Now, remaining is filled with water in each glass.

Now,contents of both the glasses are mixed in a pot.

We need to find the ratio of milk to water in the pot in which contents of both the glasses are poured.

Let the capacity of each of the two glasses be C

Then,

According to your question,

1st glass: 1/3rd milk,remaining water

2nd glass: 1/4th milk,remaining water

So,in first glass,

(Milk/Water ratio)1=((1/3)/(1-1/3))=((1/3)/(2/3))=1/2

So,in second glass,

(Milk/Water ratio)2=((1/4)/(1-1/4))=((1/4)/(3/4))=1/3

Now these 2 glasses are mixed in a pot

(Milk/Water ratio)Pot=?

So,Let Capacity=L.C.M.(2,3) be 6 liters

Then,in first glass

Milk=2 liters

Water=4 liters

Then,in second glass

Milk=1.5 liters

Water=4.5 liters

Now these two glasses are mixed in a pot all quantities remaining constant

Total milk in pot=2 liters+ 1.5 liters= 3.5 liters

Total water in pot=4 liters+ 4.5 liters=8.5 liters

(Milk/Water)pot=3.5/8.5 or 7/17