Question

A 12-quart cooling system is tested and found filled with a 60% antifreeze solution. The ideal mixture should be a 50% antifreeze solution. How many quarts of solution need to be drained and replaced with pure water to reach the ideal mixture?

Answer 1

2 quarts

Step-by-step explanation:

Let the number of quarts to be drained and replaced = x

From the given problem:

60% of (12-x)=50% of 12

`\begin{gathered} 0.6(12-x)=0.5*12 \\ 0.6(12-x)=6 \\ 12-x=(6)/(0.6) \\ 12-x=10 \\ x=12-10 \\ x=2 \end{gathered}`

2 quarts of the solution needs to be drained and replaced with pure water to reach the ideal mixture.