SOLUTION: What quantity of a 50% acid solution must be mixed with a 25% solution to produce 600ml of a 40% solution? I am completely confused on what it is asking...

Algebra ->  Customizable Word Problem Solvers  -> Mixtures -> SOLUTION: What quantity of a 50% acid solution must be mixed with a 25% solution to produce 600ml of a 40% solution? I am completely confused on what it is asking...      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 260632: What quantity of a 50% acid solution must be mixed with a 25% solution to produce 600ml of a 40% solution? I am completely confused on what it is asking...
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Let A be the amount of 50% solution, B the amount of 25% solution.
Here's the equation for total volume:
1.A%2BB=600
Here's the concentration equation:
2.25A%2B50B=40%28A%2BB%29=40%28600%29=24000
From eq. 1,
A=600-B
Substitute into eq. 2,
2.25A%2B50B=24000
25%28600-B%29%2B50B=24000
15000-25B%2B50B=24000
25B=9000
25B=9000
B=360
Then from eq. 1,
A=600-B=600-360=240
.
.
.
You need 240 ml of 50% solution and 360 ml of 25% solution.