SOLUTION: a solution of 78% acid is to be mixed with a solution of 23% acid to produce 550 liter solution that is 50 % acid. How many liter of each should be added?

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Question 435055: a solution of 78% acid is to be mixed with a solution of 23% acid to produce 550 liter solution that is 50 % acid. How many liter of each should be added?
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
--------percent ----------------quantity
Acid I 78 ----------------x L
Acid II 23 ----------------550-x L
Total 50.00% ----------------550
78 x + 23 ( 550 - x ) = 50 * 550

78 x + 12650 - 23 x = 27500
78 x - 23 x = 27500 - 12650
55 x = 14850
/ 55
x = 270 L 78.00%
280 L 23.00%