Answer :
To determine how much milk you need if you have 2 cups of potatoes, we can use a simple proportion based on the given recipe.
The original recipe calls for:
- [tex]\frac{2}{3}[/tex] cup of potatoes
- [tex]\frac{1}{3}[/tex] cup of milk
We need to find the amount of milk for 2 cups of potatoes using a proportional relationship.
Let's set up the proportion:
[tex]\frac{2}{3} \text{ cup of potatoes} : \frac{1}{3} \text{ cup of milk} = 2 \text{ cups of potatoes} : x \text{ cups of milk}[/tex]
We can write this proportion as an equation to solve for [tex]x[/tex]:
[tex]\frac{2}{3} : \frac{1}{3} = 2 : x[/tex]
We can simplify this by cross-multiplying:
[tex]\frac{2}{3}x = \frac{1}{3} \times 2[/tex]
Simplifying the right side:
[tex]\frac{2}{3}x = \frac{2}{3}[/tex]
To solve for [tex]x[/tex], multiply both sides by [tex]\frac{3}{2}[/tex]:
[tex]x = \frac{2}{3} \times \frac{3}{2}[/tex]
[tex]x = 1[/tex]
Therefore, you need 1 cup of milk if you have 2 cups of potatoes.
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