A pool company claims that for optimal results customers should use 20 cups of 73% chlorine solution to treat their pools unfortunately the company only has an 80% chlorine solution and a 60% chlorine solution In stock how many cups of Each chlorine solution should be mixed to create the optimal solution?

13 cups of the 80% chlorine solution + 7 cups of the 60% chlorine solution

Step-by-step explanation:

The pool company recommendation is 20 cups of 73% chlorine to treat their pool

Concentration of chlorine solution in stock = 80% and 60%

Therefore to make 20 cups of 73% solution, we require;

X cups of the 80% chlorine solution and

Y cups of the 60% chlorine solution

That gives 0.8·X + 06·Y = 0.73 * 20

X + Y = 20

Solving gives X = 13 cups

and Y = 7 cups

Therefore to make the optimal solution, 13 cups of the 80% chlorine solution should be mixed with 7 cups of the 60% chlorine solution.