SOLUTION: Theresa Yee, a chemist, has 25% hydrochloric acid solution and a 50% hydrochloric acid solution. How many liters of each should she mix to get 10 liters of a hydrochloric acid solu

Question 451165: Theresa Yee, a chemist, has 25% hydrochloric acid solution and a 50% hydrochloric acid solution. How many liters of each should she mix to get 10 liters of a hydrochloric acid solution with a 40% acid concentration?
Found 2 solutions by rwm, josmiceli:
Answer by rwm(914) (Show Source): You can put this solution on YOUR website!
.25x+.5y=.4*10
x+y=10
x=4 y=6

Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = liters of 25% solution needed
Let = liters of 50% solution needed
given:
(1) liters
(2)
--------------------
(2)
(2)
Multiply both sides of (1) by and
subtract (1) from (2)
(2)
(1)

and, since
(1)

4 liters of 25% solution are needed
6 liters of 50% solution are needed
check:
(2)
(2)
(2)
(2)
OK
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