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?

Mixture of both alcohol and water in solution is 50 milliliters

Step-by-step 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