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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?

A 12quart 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 soluti class=

Respuesta :

Answer:

2 quarts

Explanation:

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

From the given problem:

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

[tex]\begin{gathered} 0.6(12-x)=0.5\times12 \\ 0.6(12-x)=6 \\ 12-x=\frac{6}{0.6} \\ 12-x=10 \\ x=12-10 \\ x=2 \end{gathered}[/tex]

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

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