Question

125 gallons of mixture of milk and water contains $20\%$ water. What amount of water needs to be added to this milk-water mixture in order to increase the percentage of water to $25\%$ of the new mixture?

• A. 7
• B. 5.66
• C. 8.33
• D. 9

Answer 1

The correct option is C 8.33

Option c

We need to find out how much of a solution of $100\%$ water needs to be added to a solution containing $20\%$ water to attain a dilution of $25\%$ . This can be found using allegation out as follows

Ratio = 75:5 = 15:1

That is for 15 parts of a $20\%$ water solution, one part of $100\%$ water solution needs to be added. Therefore, for a solution of 125 gallons, $\frac{125}{15}=8.33$ gallons needs to be added