SOLUTION: joan has one solution that is 18% acid and second solution that is 43% acid.How many liters should she mix together in order to get an 80 liters solution that is 26.5% acid

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Question 1043926: joan has one solution that is 18% acid and
second solution that is 43% acid.How many
liters should she mix together in order to get
an 80 liters solution that is 26.5% acid

Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
Let = liters of 18% solution needed
Let = liters of 43% solution needed
-----------------------------------
= liters of acid in 18% solution
= liters of acid in 43% solution
-----------------------------------
(1)
(2)
-----------------------------------
(2)
(2)
(2)
---------------------------
Multiply both sides of (1) by
and subtract (1) from (2)
(2)
(1)
--------------------------


and
(1)
(1)
----------------------
52.8 liters of 18% solution are needed
27.2 liters of 43% solution are needed
--------------------------------
check answer:
(2)
(2)
(2)
(2)
(2)
(2)
OK

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