SOLUTION: how many liters of a 25% alcohol solution must be mixed wuth a 12% solution to get 13 liters of 15% solution.

Question 510418: how many liters of a 25% alcohol solution must be mixed wuth a 12% solution to get 13 liters of 15% solution.
Answer by Maths68(1474) (Show Source): You can put this solution on YOUR website!
Solution A
Concentration = 25%=0.25
Amount = x
=======================
Solution B
Concentration = 12%=0.12
Amount = 13-x
==========================
Resultant Solution
Concentration = 15%=0.15
Amount = 13 liters
========================================
(Concentration of A * Amount of A)+(Concentration of B * Amount of B)=(Concentration of Resultant * Amount of Resultant)
==========================================
0.25x+0.12(13-x)=0.15*13
0.25x+1.56-0.12x=1.95
0.25x+1.56-0.12x=1.95
0.13x=1.95-1.56
0.13x=0.39
0.13x/13=0.39/13
x=3
==========================================
Amount of solution A = x = 3 liters
Amount of solution B = 13-x = 13-3 = 10 liters
Answer
=======
3 liters of a 25% alcohol solution must be mixed with 10 liters of 12% solution to get 13 liters of 15% solution.

RELATED QUESTIONS
how many liters of a 25% alcohol solution must be mixed with a 12% solution to get 13L of (answered by mananth)

How many liters of a 25% alcohol solution must be mixed with a 12% solution to get 13L of (answered by richwmiller)

how many liters of 25% alcohol solution and 15% alcohol solution must be mixed to obtain... (answered by Alan3354)

How many liters of 15% alcohol solution must be mixed with 25 liters of a 20% alcohol... (answered by josgarithmetic)

how many liters of a 10 alcohol solution must be mixed with 12 liters of a 20% alcohol... (answered by stanbon)

how many liters of a 12% alcohol solution must be added to 15 liters of a 5% alcohol... (answered by rothauserc)

How many liters of a 24 percent alcohol solution must be mixed with 20 liters of a 46... (answered by ankor@dixie-net.com)

how many liters of a 10% alcohol solution must be mixed with how many liters of a 50%... (answered by mananth)

In chemistry class, 10 liters of a 15% alcohol solution must be mixed with a 75% alcohol... (answered by jorel1380)