SOLUTION: How many ounces of a 75% solution must be mixed with 16 ounces of 30% solution to produce a 50% solution? Can anyone go into detail in figuring out how that is the answer?

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Question 622855: How many ounces of a 75% solution must be mixed with 16 ounces of 30% solution to produce a 50% solution?
Can anyone go into detail in figuring out how that is the answer?

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
How many ounces of a 75% solution must be mixed with 16 ounces of 30% solution to produce a 50% solution?
Can anyone go into detail in figuring out how that is the answer?
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16*30 + oz*75 = (16 + oz)*50
480 + 75oz = 800 + 50oz
25oz = 320
oz = 12.8 ounces of 75%
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Make sense?