SOLUTION: how many liters of a 5 percent solution of salt should be added to a 19 percent solution in order to obtain 560 liters of 8 percent solution. please explain how to get answer

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Question 613657: how many liters of a 5 percent solution of salt should be added to a 19 percent solution in order to obtain 560 liters of 8 percent solution.
please explain how to get answer

Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
let x = liters of 5%, and y = liters of 19%

x + y = 560 ___ 5x + 5y = 5 * 560

(5%)x + (19%)y = (8%)560 ___ 5x + 19y = 8 * 560

subtracting equations (to eliminate x) ___ 14y = 3 * 560 ___ y = 3 * 40

solve for y, then substitute back to find x