Question

A vessel contains a 105 ml mixture of milk and water. 3/7 of the mixture is alcohol, the remainder is water. An additional quantity of 105 ml of milk is poured into the mixture. What is the ratio of the volume of milk to water in the new mixture?

Answer 1

The amount of milk 3/7 * 105 = 45 ml. 

So, total milk in the new mixture is 105 + 45 = 150 ml

Water content = (105 - 45) =  60 ml.

The ratio of the volume of Milk to water in the new mixture is 150: 60 = 5: 2.


Hope this helps!

Answer 2

The ratio of the volume of milk to water in the new mixture is 33:9.

Given,

Volume of both milk and water in the vessel=105 mL

Part of the mixture that is water=3/7

Additional quantity of milk that got added=105 mL.

To find,

the ratio of the volume of milk to water in the new mixture.

Solution:

The volume of water in the mixture will be:

=3/7 x 105 mL

=315/7

=45 mL.

The volume of water in the mixture is 45 mL.

The volume of milk in the mixture before adding more milk in it will be:

=(105-45) mL

=60 mL.

The volume of milk in the mixture before adding more milk in it is 60 mL.

Volume of milk in the mixture after adding 105 mL of milk will be:

=(105+60) mL

=165 mL.

Volume of water would still be the same i.e. 45 mL.

The ratio of the volume of milk to water in the new mixture will be:

$\frac{Milk}{Water} =\frac{165}{45} \\\frac{Milk}{Water}=\frac{33}{9} \\\frac{Milk}{Water}=33:9.$

The ratio of the volume of milk to water in the new mixture is 33:9.

#SPJ2