How many quarts of water must be added to a 5 qt of an 80% antifreeze solution to make 50% antifreeze solution

Question

Can you show me all of the work?

Answer 1

The formula to answer this question is C₁xV₁ = C₂xV₂, where C = Concentration, and V = Volume

 

Let X = V₂

Our equation becomes 80% x 5q = 50% x Xq

400%q = 50% x X

400%q ÷ 50% = X

8 = X

 

Since the final volume will be 8q, we need to add 3q of water