SOLUTION: Theresa Morgan, a chemist, has a 25% hydrochloric acid solution and a 55% hydrochloric acid solution. How many liters of each should she mix to get 465 liters of a hydrochloric aci

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Question 1129873: Theresa Morgan, a chemist, has a 25% hydrochloric acid solution and a 55% hydrochloric acid solution. How many liters of each should she mix to get 465 liters of a hydrochloric acid solution with a 45% acid concentration?
___ liters of 25% of Hydroloric acid
___ Liters of 55% of Hydroloric acid
Found 2 solutions by josgarithmetic, josmiceli:
Answer by josgarithmetic(39617) (Show Source):
You can put this solution on YOUR website!
The question looks familiar and was maybe done already not more than a week ago.

x, amount of the 55% HCl
465-x, liters amount of the 25% HCl

-

310 liters of the 55% HCl
and
155 liters of the 25% HCl

Answer by josmiceli(19441) (Show Source):
You can put this solution on YOUR website!
Let = liters of 25% solution needed
Let = liters of 55% solution needed
------------------------------------------------
(1)
(2)
------------------------------------------------
(2)
(2)
(2)
Multiply both sides of (1) by and subtract (1) from (2)
(1)
---------------------------------

and
(1)
(1)
----------------------------
155 liters of 25% mixture
310 liters of 55% mixture
-----------------------------
check:
(2)
(2)
(2)
(2)
(2)
(2)
OKJ