David needs to have a 20% solution of antifreeze in his truck's radiator. if the radiator is now full and contains 8 quarts of 10% antifreeze solution, how much of that solution must be drained and replaced with pure antifreeze to create the desired solution?

Approximately 0.89 quarts solution must be drained and replaced with pure antifreeze to create the desired solution.

Explanation

Suppose,   quarts solution must be drained and replaced with pure antifreeze.

So, the amount of solution in the radiator after draining out quarts, which is 10% antifreeze solution.

That drained out solution is replaced with quarts 100% antifreeze solution.

David needs to have a 20% solution of antifreeze in the radiator, which can contain 8 quarts solution. So, the equation will be.......

So, the amount of solution that must be drained and replaced with pure antifreeze will be approximately 0.89 quarts.

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