Question

A car radiator has a 16-quart capacity and is currently filled with a 40% antifreeze solution. How many quarts of this solution should be drained off and replaced with 100% antifreeze to obtain a 50% antifreeze solution?

Answer 1

Answer: The amount that is drained off is 2.67 quarts.

Step-by-step explanation:

Since we have given that

Quantity of car radiator = 16 quart

It is currently filled with 40% anti freeze solution.

Let the amount that is drained off and replaced be 'x'.

According to question, it becomes,

$0.4(16-x)+x=0.5\times 16\\\\6.4-0.4x+x=8\\\\0.6x=8-6.4\\\\0.6x=1.6\\\\x=\dfrac{1.6}{0.6}\\\\x=2.67\ quarts$

Hence, the amount that is drained off is 2.67 quarts.