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# solution

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a solution contains 3% salt. How much water should be added to 60 ounces of this solution to make a 1.8% solution?​

Mar 14, 2021

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If a 60-ounce solution contains 3% salt, then the salt is $$\frac{3}{100} \cdot 60 = 1.8$$ ounces. We want to figure out the weight of the solution that is going to make 1.8 ounces equal to 1.8% of its weight. Let x be the weight of that solution:

$$1.8 = \frac{1.8}{100} \cdot x\\ x = 100$$

That means $$100-60=\boxed{40}$$ ounces of water should be added.

Mar 14, 2021