SOLUTION: How many liters of a 20% alcohol solution must be miced with 50 liters of a 70% solution to get a 50 % solution? I can solve this just by using the equation of .20x + 35 = .50(5

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Question 230075: How many liters of a 20% alcohol solution must be miced with 50 liters of a 70% solution to get a 50 % solution?
I can solve this just by using the equation of .20x + 35 = .50(50+x)
But this has to be done in a system of equations. I am stumped on how to get the 2nd equation. There is no usual x+y = a certain total amount here.
Not looking for the answer but just the 2nd. equation
Thanks in advance :0)

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
All I can figure is that they want you to say
x+%2B+y liters is the total liters of solution
and y+=+50 is the other equation (very trivial)
Let x = liters of 20% alcohol solution needed
In words:
(final liters of alcohol)/(final total solution) = 50%
given:
Alcohol in 70% solution:
.7%2A50+=+35
----------------------
%28.2x+%2B+35%29%2F%28x+%2B+y%29+=+.5
.2x+%2B+35+=+.5%2A%28x+%2B+y%29
.2x+%2B+35+=+.5x+%2B+.5y
(1) .3x+%2B+.5y+=+35
and
(2) y+=+50