High School

If 5 oz of a solution contains \(4 \frac{1}{2}\) oz of water, how many ounces of water are in 20 oz of solution?

Answer :

5 oz of a solution contains 4 1/2 oz of water. 20 oz of solution contains 18 oz of water.

We can set up a proportion to solve this problem:

5 oz of solution contains 4 1/2 oz of water, which means that 5 - 4 1/2 = 1/2 oz of the solution is not water.

So the ratio of water to solution is:

4 1/2 oz / 5 oz = x oz / 20 oz

where x is the number of ounces of water in 20 oz of solution.

Cross-multiplying, we get:

5 * x = 4 1/2 * 20

x = (4 1/2 * 20) / 5

x = 18 oz

Therefore, 20 oz of solution contains 18 oz of water.

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