SOLUTION: A chemist has a solution that is 20% peroxide and another solution that is 70% peroxide. She wishes to take 100 L of a solution that is 35% of peroxide. How much of each solution s

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Question 70908: A chemist has a solution that is 20% peroxide and another solution that is 70% peroxide. She wishes to take 100 L of a solution that is 35% of peroxide. How much of each solution should she use?
Answer by mathmaven53(29) About Me  (Show Source):
You can put this solution on YOUR website!
Let x be amount of 20% peroxide solution
The amount of peroxide is .2x
100-x is the amount of 70% peroxide solution
This contains .7(100-x) peroxide
The amount of peroxide of these solutions combines to a total of
.2x + .7(100-x)
This forms a solution of 100 L which is 35% peroxide and thus contains
.35(100) peroxide
So solve .2x + .7(100-x) = .35(100) for x
x is the amount of 20% peroxide solution
100 -x is the amount of 70% solution