SOLUTION: 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?

Question 1156014: 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?
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
v liters of 70% alcohol
50 liters of 40% alcohol
Want 50% alcohol
v+50 liters, resulting solution volume

.
.
Answer by MathTherapy(10552) (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 amount of 70% solution be S
Then we get: .7S + .4(50) = .5(S + 50)
.7S + 20 = .5S + 25
.7S - .5S = 25 - 20
.2S = 5
S, or amount of 70% solution to mix, =
RELATED QUESTIONS
How many liters of a 70% alcohol solution must be added to 50 liters of a 40% alcohol... (answered by jorel555)
How many liters of a 70% alcohol must be added to 50 liters of a 40% alcohol solution to... (answered by nerdybill)
How many liters of a 70% alcohol solution must be added to 50 liters of a 40% alcohol... (answered by fractalier)
How many liters of a 70 percent alcohol solution must be added to 50 liters of a 40... (answered by scott8148)
Hello tutor, I need help on this word problem, please help me. How many liters of a... (answered by ankor@dixie-net.com)
How many liters of a 70% alchole slolution must be added to 50% liters of a 40% alcohole... (answered by Alan3354)
Moonshine has 50 liters of a 70% alcohol solution. How many liters of pure alcohol must... (answered by mathie123)
How many liters of a 30% alcohol solution and how many of a 60% alcohol solution must be... (answered by nerdybill)
How many liters of water must be added to 10 liters of a 75% antifreeze solution in order (answered by josgarithmetic)