Craig's recipe for Greek salad dressing says to mix 4 tablespoons of olive oil with 1.5 tablespoons of lemon juice and half a tablespoon of vinegar. a. Craig wants to make 1.5 cups of his Greek salad dressing. You know there are 16 tablespoons in 1 cup. How many tablespoons of each ingredient will Craig need?

To determine how many tablespoons of each ingredient Craig needs to make 1.5 cups of Greek salad dressing, we first need to calculate the total number of tablespoons in 1.5 cups.

Since there are 16 tablespoons in 1 cup:

\[
\text{Total tablespoons in 1.5 cups} = 1.5 \times 16 = 24 \text{ tablespoons}
\]

Next, we need to figure out the proportion of each ingredient in the original recipe and scale it up to 24 tablespoons.

1. **Original Recipe:**
   - Olive oil: 4 tablespoons
   - Lemon juice: 1.5 tablespoons
   - Vinegar: 0.5 tablespoons

   Total tablespoons in the original recipe:
   \[
   4 + 1.5 + 0.5 = 6 \text{ tablespoons}
   \]

2. **Scaling up the ingredients:**
   Since the original recipe is for 6 tablespoons, and Craig wants 24 tablespoons, we scale each ingredient by a factor of:

\[
\text{Scaling factor} = \frac{24}{6} = 4
\]

Now, multiply each ingredient by 4:

- **Olive oil:**
  \[
  4 \times 4 = 16 \text{ tablespoons}
  \]

- **Lemon juice:**
  \[
  1.5 \times 4 = 6 \text{ tablespoons}
  \]

- **Vinegar:**
  \[
  0.5 \times 4 = 2 \text{ tablespoons}
  \]

**Answer:**
- Craig will need **16 tablespoons** of olive oil, **6 tablespoons** of lemon juice, and **2 tablespoons** of vinegar to make 1.5 cups of Greek salad dressing.

Would you like more details or have any questions? Here are some related questions you might find helpful:

1. How would the ingredient amounts change if Craig wanted to make 2 cups of dressing instead?
2. What is the ratio of olive oil to lemon juice in the original recipe?
3. How many tablespoons of olive oil would be needed for just 1 cup of dressing?
4. If Craig wants to reduce the amount of lemon juice by half, how much olive oil and vinegar should he use to keep the proportions?
5. Can this recipe be scaled down to make 0.5 cups of dressing? What would be the amounts of each ingredient?

**Tip:** When scaling a recipe, always calculate the total quantity you need and then proportionally adjust each ingredient to maintain the recipe's balance.

Learn how to calculate the amounts of olive oil, lemon juice, and vinegar needed for Craig's Greek salad dressing recipe scaled up to 1.5 cups. This problem involves proportional reasoning and scaling of ingredient quantities. Suitable for students in Grades 6-8.

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