SOLUTION: A physician advised the nurse to decrease the antibiotic solution for a newly born baby from 25% to 16%. How much distilled water must be added to 500 cc of 25% solution to get 16%

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Question 825545: A physician advised the nurse to decrease the antibiotic solution for a newly born baby from 25% to 16%. How much distilled water must be added to 500 cc of 25% solution to get 16% solution?
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
F is a factor;
25*F=16
F=16/25
'
500*25/16=781 cc total volume after adding water.
781-500=281 cc of added water.

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A little more formally,
500%2A25%2F%28x%2B500%29=16, x does not add any antibiotic but simply dilutes the concentration;
500*25=16(x+500)
500*25=16x+500*16
16x=500*25-500*16
16x=500*9
8x=250*9
4x=125*9
ANSWER: x=281