SOLUTION: solution A 30% acid, solution B is 100% acid. How many liters should be combined to make 28 liters of a solution that is 50%acid? X + Y = 28 30% 100%=50% 30x 100y 50% of 24 l

Algebra.Com
Question 371376: solution A 30% acid, solution B is 100% acid. How many liters should be combined to make 28 liters of a solution that is 50%acid?
X + Y = 28
30% 100%=50%
30x 100y 50% of 24 liters <

Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
solution A 30% acid, solution B is 100% acid. How many liters should be combined to make 28 liters of a solution that is 50%acid?
X + Y = 28
30% 100%=50%
30x 100y 50% of 24 liters < ------------------
x = amount of solution A
y = amount of B
---------------
x + y = 28 --> y = 28-x
0.3x + y = 0.5*28 = 14
--------------
y = 28-x
0.3x + 28-x = 14
-0.7x = -14
x = 20 liters
y = 8 liters
-----------------
I would have used A and B instead of x and y, but the answer is the same.

RELATED QUESTIONS

Solution "A" is 50% acid and solution "B" is 20% acid. How many liters of each should be... (answered by Fombitz)
How many liters of a 20% acid solution must be added to 5 liters of a 30% acid solution... (answered by richwmiller)
Pure acid is to be added to a 5% acid solution to obtain 95L of 28% solution. What... (answered by ewatrrr)
How many liters of pure acid should be added to 4 liters of a 10% acid solution to make a (answered by richwmiller)
how many liters of a 5% acid solution should be mixed with 40 liters of 10% acid solution (answered by ankor@dixie-net.com)
How many liters of a 30% acid solution should be mixed with an 80% acid solution to get... (answered by ewatrrr)
How many liters of water should be added to 20L of a 30% acid solution to make a solution (answered by stanbon)
How many liters of water should be added to 20 L of a 30% acid solution to make a... (answered by Alan3354)
a chemist has a 25% acid solution and a 30% acid solution. how many liters of each... (answered by richwmiller)