Question

A solution of alcohol and water is 70% alcohol. The solution is found to contain 35 milliliters of alcohol. How many milliliters total (both alcohol and water) are in the solution?

Answer 1

Mixture of both alcohol and water in solution is 50 milliliters

Explanation:

Let x = the volume of the solution (alcohol plus water )

The solution of alcohol and water

contains 70% alcohol. This means the solution contains ( 70/100) × x

=0.7×x = 0.7x

Since the mixture contains only alcohol and water,

The percentage of water in the solution = (100% - % of alcohol)

= 100% -70% = 30%

The solution is found to contain 35 milliliters of alcohol. This means that

0.7x = 35 milliliters of alcohol

x = 35/0.7

x = 50 milliliters

Mixture of both alcohol and water in solution is 50 milliliters