A 25 ounce solution is 20% alcohol. If 50 ounces of water are added, what percent of the new solution is alcohol?

• A. 6 2/3%
• B. 7 1/2%
• C. 10%
• D. 13 1/3%

Answer: (A)

To determine the percentage of alcohol in the new solution after adding water, we start by calculating the amount of alcohol in the original solution.

The 25-ounce solution contains 20% alcohol. To find out how much alcohol this represents, we multiply the total volume by the percentage in decimal form:

[

\text{Alcohol} = 25 \text{ ounces} \times 0.20 = 5 \text{ ounces}

]

Next, we consider what happens when we add 50 ounces of water to this solution. The total volume of the new solution will be the original 25 ounces plus the 50 ounces of water:

[

\text{New Total Volume} = 25 \text{ ounces} + 50 \text{ ounces} = 75 \text{ ounces}

]

Now, the amount of alcohol remains the same at 5 ounces, but the total volume of the solution has increased to 75 ounces. To find the new percentage of alcohol in the solution, we calculate:

[

\text{New Percentage of Alcohol} = \left( \frac{\text{Alcohol}}{\text{New Total Volume}} \right) \times 100 = \left( \frac{5