SOLUTION: You are mixing a 10% hydrochloric acid solution with 1% hydrochloric acid solution to make 12 L of a 4.5% solution. How much of each original solution should you use? HELP IM FAILI

Question 569512: You are mixing a 10% hydrochloric acid solution with 1% hydrochloric acid solution to make 12 L of a 4.5% solution. How much of each original solution should you use? HELP IM FAILING AT THIS QUESTION.
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = liters of 10% solution needed
Let = liters of 1% solution needed
= liters of h. acid in 10% solution
= liters of h. acid in 1% solution
given:
(1)
(2)
----------------------------
(2)
(2)
(2)
Subtract (1) from (2)
(2)
(1)

and, since
(1)
(1)
(1)
(1)
4.667 liters of 10% solution are needed
7.333 liters of 1% solution are needed
check:
(2)
(2)
(2)
(2)
(2)
OK- error due to rounding off
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