SOLUTION: Hello tutor, I need help on this word problem, please help me. How many liters of a 70% alcohol solution must be added to 50 liters of a 40% alcohol solution to produce a 50% al

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Question 554802: Hello tutor, I need help on this word problem, please help me.
How many liters of a 70% alcohol solution must be added to 50 liters of a 40% alcohol solution to produce a 50% alcohol solution?

Thank You!!!!!!!!
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
How many liters of a 70% alcohol solution must be added to 50 liters of a 40% alcohol solution to produce a 50% alcohol solution?
:
Let x = amt of 70% solution required
:
A typical mixture equation
:
.70x + .40(50) = .50(x+50)
.70x + 20 = .50x + 25
.70x - .50x = 25 - 20
.20x = 5
x = 5%2F.2
x = 25 liters of 70% solution
:
:
check this
.7(25) + .4(50) = .5(25+50)
17.5 + 20 = 37.5