Question 466640: A saline solution is 20% salt. How many gallons of water must be added to dilute the mixture to 8 gals of a 15% saline solution? Found 2 solutions by lwsshak3, solver91311:Answer by lwsshak3(11628) (Show Source):
You can put this solution on YOUR website! A saline solution is 20% salt. How many gallons of water must be added to dilute the mixture to 8 gals of a 15% saline solution.
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let x=gal. of water to be added
8-x =gal. of 20% solution
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20%(8-x)=15%(8)
1.6-.2x=1.2
.2x=.4
x=2
ans:
2 gallons of water must be added to dilute the mixture to 8 gals of a 15% saline solution.
Let represent the amount of water added to the original 20% solution to make it 8 gallons. Then the amount of 20% solution must be . Twenty percent of the 20% solution is salt. Fifteen percent of the 8 gallons at the end is salt, and since we added pure water, the salt at the beginning must be the same as the salt at the end.
Solve for
John
My calculator said it, I believe it, that settles it
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