SOLUTION: How many liters each of 8%, 10%, and 20% hydrogen peroxide should be mixed together to get 8 liters of 12.5% solution, if the amount of 8% solution used must be 2 liters more than

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Question 694580: How many liters each of 8%, 10%, and 20% hydrogen peroxide should be mixed together to get 8 liters of 12.5% solution, if the amount of 8% solution used must be 2 liters more than the amount of 20% solution used?
Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
Let = liters of 8% peroxide needed
Let = liters of 10% peroxide needed
Let = liters of 20% peroxide needed
-----------
given:
(1)
(2)
(3)
------------------------------
(3)
(3)
Multiply both sides of (1) by and
subtract (1) from (3)
(3)
(1)


----------------
Substitute (2) into this result




and, since
(2)
(2)
(2)
and
(1)
(1)
(1)
5 liters of 8% peroxide is needed
No 10% peroxide is needed
3 liters of 20% peroxide is needed
-----------------------------
Check answer:
(3)
(3)
(3)
(3)
(3)
OK




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