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24 October, 15:41

how many ounces of pure water must be added to 50 ounces of a 15% saline solution to make a saline solution that is 10% salt

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  1. 24 October, 16:44
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    50 ounces of 15% saline solution contains 0.15*50 = 7.5 ounces of salt.

    Let x be the amount of pure water you add to this solution. Then you end up with (x + 50) ounces of this new solution. The amount of salt stays the same.

    You want the new solution to have a concentration of 10%. This means you need

    7.5 / (x + 50) = 0.1

    ==> 7.5 = 0.1 (x + 50)

    ==> 7.5 = 0.1x + 5

    ==> 2.5 = 0.1x

    ==> 2.5/0.1 = 0.1x/0.1

    ==> x = 25
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