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4. a recipe for homemade clay calls for 6 cups of water for every 12 cu…

Question

  1. a recipe for homemade clay calls for 6 cups of water for every 12 cups of flour. how many cups of water are needed when 4 cups of flour are used? (example 2)

Explanation:

Step1: Find the ratio of water to flour

The ratio of water to flour in the recipe is $\frac{6}{12}=\frac{1}{2}$, which means 1 cup of water for every 2 cups of flour.

Step2: Calculate water for 4 - cup flour

If there are 4 cups of flour, and the ratio of water to flour is $\frac{1}{2}$, then the amount of water $x$ is calculated by setting up the proportion $\frac{x}{4}=\frac{1}{2}$. Cross - multiplying gives $2x = 4$, so $x = 2$.

Answer:

2