SOLUTION: A chemist needs 2 liters of an 18% acid solution. He has two solutions, A and B, to mix together to form the solution. Acid solution A is 10% acid and acid solution B is 15% acid.

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Question 797963: A chemist needs 2 liters of an 18% acid solution. He has two solutions, A and B, to mix together to form the solution. Acid solution A is 10% acid and acid solution B is 15% acid. Can the chemist form the needed 18% acid solution? (Verify by calculation.) If the chemist locates a 20% acid solution, how much would have to be mixed with the 10% solution to obtain the needed 2-liter 18% solution?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Let u = amount of 10% acid
Let v = amount of 20% acid

%2810u%2B20v%29%2F2=18 and u%2Bv=2
Solve for u and v.



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If you try the same or similar analysis for a target value of 18%, but using only the 10% and 15% acid solutions, you will obtain answers for u and v which do not make sense.