To determine how much sauce and oregano are needed for 6 servings, we need to look at the given recipe for 4 servings and scale up accordingly. Here’s a detailed step-by-step solution:
1. Understand the given quantities for 4 servings:
- Sauce: 8 cups
- Oregano: 1/2 teaspoon
2. Determine the amount of each ingredient per serving:
- For sauce: [tex]\( \frac{8 \text{ cups}}{4 \text{ servings}} = 2 \text{ cups per serving} \)[/tex]
- For oregano: [tex]\( \frac{\frac{1}{2} \text{ teaspoon}}{4 \text{ servings}} = \frac{1}{8} \text{ teaspoon per serving} \)[/tex]
3. Calculate the required quantities for 6 servings by multiplying the per-serving amount by 6:
- For sauce: [tex]\( 2 \text{ cups per serving} \times 6 \text{ servings} = 12 \text{ cups} \)[/tex]
- For oregano: [tex]\( \frac{1}{8} \text{ teaspoon per serving} \times 6 \text{ servings} = \frac{6}{8} \text{ teaspoons} = \frac{3}{4} \text{ teaspoons} \)[/tex]
Therefore, the recipe will need:
- 12 cups of sauce
- 3/4 teaspoon of oregano
Thus, for 6 servings, the recipe will need 12 cups of sauce and 3/4 teaspoon of oregano.
