Solve Proportions Word Problems

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On Monday, you are cooking enough white rice to serve exactly 3 people.

The recipe calls for 2 cups of water and 1 cup of dry rice.

If we represent the constant by k, then we can get the equation: \(\frac\) = k or y = kx where k ≠ 0.

The relative size of two quantities expressed as the quotient of one divided by the other is the ratio. Learn more about ratios, proportions and equivalent ratios using the resources on this page.

On Sunday, you are going to serve rice to 12 people. If you’ve ever made rice, you know that this ratio—1 part dry rice and 2 parts water—is important.

Mess it up, and you’ll be scooping a gummy mess on top of your guests' crawfish étouffée.

Because you are quadrupling your guest list (3 people * 4 = 12 people), you must quadruple your recipe. These shifts in a recipe demonstrate the heart of proportions: using a ratio to accommodate life's greater and smaller changes.

Sure, with the right numbers, you can forgo setting up an algebraic equation to determine the amounts of dry rice and water.

: Translating a word problem into an equation is super important.

Yes, you can solve an incorrectly set up equation and find an answer.


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