SOLUTION: how much 20% acid must be added to 3000 ml of a 50% soltion to create a 25% solution. How much solution will be created?

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Question 469433: how much 20% acid must be added to 3000 ml of a 50% soltion to create a 25% solution. How much solution will be created?
Answer by ccs2011(207) About Me  (Show Source):
You can put this solution on YOUR website!
Write a balanced equation:
0.2x+%2B+0.5%283000%29+=+.25%28x%2B3000%29
Solve for x
Distribute right side
0.2x+%2B+1500+=+.25x+%2B+750
Subtract .25x on both sides
-.05x+%2B+1500+=+750
Subtract 1500 on both sides
-.05x+=+-750
Divide by -.05 on both sides
x+=+15%2C000
Therefore, 15,000 ml of 20% solution must be added