SOLUTION: If one solution is 20% acid and another 50% acid, then how many liters of each must be mixed to get 20 liters of solution that is 40% acid?

Question 911502: If one solution is 20% acid and another 50% acid, then how many liters of each must be mixed to get 20 liters of solution that is 40% acid?
Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
We need a total of 20 liter at 40%
We want to know how many liter at 20% to mix with 50%
a+b=20,
0.2*a+0.5*b=0.4*20
a=20-b
0.2*(20-b)+0.5*b=8
4-0.2b+0.5*b=8
0.3*b=4
b=13.3333333
a=20-b
a=6.66666667 liter at 20%
b=13.3333333 liter at 50%
check
0.2*6.66666667+0.5*13.3333333=0.4*20
1.33333333+6.66666667=8
8.0=8
ok
codemx1

RELATED QUESTIONS
Solution A is 25% acid and Solution B is 10% acid. How many liters of each must be mixed... (answered by Alan3354)

how many liters of a 50% acid solution must be mixed with a 20% acid solution to get 270... (answered by mananth)

How many liters of a 60% acid solution must be mixed with 20% acid solution to get 320... (answered by Alan3354)

How many liters of a 50% acid solution must be mixed with a 20% acid solution to get 240... (answered by ewatrrr,richwmiller)

How many liters of each of 20% acid solution and 45% acid solution must be used to... (answered by josmiceli)

Chemist has 20% and 50% solution of acid available. how many liters of each solution... (answered by jorel1380)

How many liters of 70% methyl solution should be added to 200 liters of a 20% methyl... (answered by ewatrrr,stanbon,richwmiller)

how many liters of a 10% acid solution must be mixed with a 50% acid solution in order to (answered by checkley75)