SOLUTION: I want to make 50 liters of a 60% solution, but I only have a 70% solution and a 20% solution on my shelf. How much of each solution should I use?

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Question 403182: I want to make 50 liters of a 60% solution, but I only have a 70% solution
and a 20% solution on my shelf. How much of each solution should I use?

Answer by Tatiana_Stebko(1539) About Me  (Show Source):
You can put this solution on YOUR website!
If you'll use x liters of a 70% solution, then for make 50 liters of solution you have to add (50-x) liters of a 20% solution.
In x liters 70% solution is 0.7x liters substance, in (50-x) liters 20 % solution is 0.2%2A%2850-x%29=10-0.2x substance, we will make 50 liters 60% solution, so will have 0.6%2A50=30 liters of substance
Equation
0.7x%2B10-0.2x=30
0.5x=30-10
0.5x=20
x=20%2F0.5
x=40 liters of a 70% solution, and (50-40)=10 liters of a 20% solution