3. Baking a Cake:
Situation: You are baking a cake and need to adjust the recipe based on the number of people you are serving.
Problem: The original recipe calls for 2 cups of flour for 12 servings. How much flour do you need for 'n' servings


To determine the amount of flour needed for **n servings**, we can use a proportional relationship based on the original recipe.

### Step-by-step process:
1. The original recipe requires 2 cups of flour for 12 servings. So, the amount of flour per serving is:

   \[
   \frac{2 \, \text{cups}}{12 \, \text{servings}} = \frac{1}{6} \, \text{cup per serving}
   \]

2. To find how much flour is needed for **n** servings, multiply the amount of flour per serving by **n**:

   \[
   \text{Flour for n servings} = \frac{1}{6} \times n = \frac{n}{6} \, \text{cups}
   \]

### Final formula:
\[
\text{Flour needed} = \frac{n}{6} \, \text{cups}
\]

This gives you the amount of flour needed for any number of servings, **n**.

Would you like more details or have any questions?

Here are 5 related questions to expand the concept:
1. How much flour would you need for 18 servings?
2. If you only have 1.5 cups of flour, how many servings can you make?
3. How many cups of flour would be required for 24 servings?
4. If the recipe changes and calls for 3 cups of flour for 12 servings, how would the formula change?
5. What other ingredients might also need proportional adjustments in a recipe for a larger group?

**Tip:** Always keep the ratios of ingredients constant when scaling recipes to ensure the right balance of flavors.

You are baking a cake and need to adjust the recipe based on the number of people you are serving. The original recipe calls for 2 cups of flour for 12 servings. How much flour do you need for 'n' servings?

Learn how to adjust a cake recipe for any number of servings using a proportional relationship. This example demonstrates how 2 cups of flour for 12 servings can be scaled to find the amount of flour for 'n' servings using the formula n/6 cups. Suitable for Grades 5-7.

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