SOLUTION: A scientist has acid solutions with concentrations of 4% and 15%. He wants to mix some of each solution to get 44 milliliters of solution with a 12% concentration. How many millili

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Question 1096956: A scientist has acid solutions with concentrations of 4% and 15%. He wants to mix some of each solution to get 44 milliliters of solution with a 12% concentration. How many milliliters of each solution does he need to mix together?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Let X be the amount of 4% solution.
Let Y be the amount of 15% solution.
1.X%2BY=44 Total volume.
.
.
2.4X%2B15Y=12%28X%2BY%29=12%2844%29=528 Total concentration.
Multiply eq.1 by 4 and subtract from eq. 2,
4X%2B15Y-4X-4Y=528-176
11Y=352
Solve for Y then use either equation to solve for X.