A mixture of 125 gallons of wine and water contains 20% wine. How much wine must be added to the mixture to increase the percentage of wine to 25% of the new mixture?
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → \(8\frac{1}{3}\) gallons
Only wine is added, so the quantity of water does not change; it is easiest to work with the water.
Water \(=80\%\) of 125 \(=100\) gallons
In the new mixture water is 75%, so the new mixture \(\displaystyle =\frac{100}{0.75}=133\frac{1}{3}\) gallons
Wine added \(=133\frac{1}{3}-125=8\frac{1}{3}\) gallons
\(8\frac{1}{3}\) gallons of wine must be added.