Question

Two equal glasses are 1/3 and 1/4
full of milk respectively. They are completely
filled with water. The contents are then
mixed up in another vessel. What will
be the ratio of milk and water in
the vessel ?​

Answer 1

Answer:  7 : 17

Explanation: According to your question,

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

One is filled with 1/3rd of its capacity and the 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 vessel.

We need to find the ratio of milk to water in the vessel 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 the first glass,

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

So, in the 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 vessel

(Milk/Water ratio)vessel=?

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

Then, in the first glass

Milk=2 litres

Water=4 litres

Then, in the second glass

Milk=1.5 litres

Water=4.5 litres

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

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

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

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

hope it will help you

pls give a thank and mark as brain list