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# math

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If the cocoa to water ratio for a hot chocolate recipe is 1 tablespoon cocoa to 1⁄4cup water, how much cocoa do you need if you use 1.5 cups of water?

Feb 18, 2019

#1
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1.5 cups of water is just 6 1/4 cups of water. So you will need 6 tablespoons of cocoa.

Feb 18, 2019
#2
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1. You set up a proportion to solve. If you divide 1 tablespoon of cocoa by 0.25 of water, the answer should be the same if you divide x cocoa by 1.5 cups of water.

So you set up the equation.

$$\frac{1}{\frac{1}{4}}=\frac{x}{\frac{3}{2}}$$

2. Then you solve by cross multiplying,

Try it yourself!

Feb 18, 2019