SOLUTION: How many liters of a 20% acid solution must be mixed with 15 liters of a 60% solution to create 40 liters of a 35% solution?

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Question 1177323: How many liters of a 20% acid solution must be mixed with 15 liters of a 60% solution to create 40 liters of a 35% solution?
Answer by math_helper(2461) About Me  (Show Source):
You can put this solution on YOUR website!

This problem is over-constrained. In other words, the answer is easily determined by subtracting the starting 15L from the final 40L to
get +highlight%2825L%29+. A better problem would not specify how many liters the final mixture has and would simply ask how many liters need to be added to bring the concentration down to 35%.


The problem would ordinarily be solved as follows:
Let x = amount of 20% acid solution to be mixed in

+%28%280.20%29%28x%29+%2B+%280.60%29%2815%29%29+%2F+%28x%2B15%29+=+0.35+

+%28%280.20%29%28x%29+%2B+%280.60%29%2815%29%29+=+%280.35%29%28x%2B15%29+
++%280.15%29%28x%29+=+%280.25%29%2815%29+
+++x+=+%280.25%29%2815%29%2F0.15+=+highlight%28+25+%29