Question

In: Math

A 50 ml after-shave lotion at 30% alcohol is mixed with 30 ml of pure water. What is the percentage of alcohol in the new solution?

A 50 ml after-shave lotion at 30% alcohol is mixed with 30 ml of pure water. What is the percentage of alcohol in the new solution?

Solutions

Expert Solution

The amount of the final mixture is given by

50 ml + 30 ml = 80 ml

The amount of alcohol is equal to the amount of alcohol in pure water ( which is 0) plus the amount of alcohol in the 30% solution. Let x be the percentage of alcohol in the final solution. Hence

0 + 30% 50 ml = x (80)

Solve for x

x = 0.1817 = 18.75%


Answer is 18.75%

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