How many tablespoons of each ingredient will Craig need? b. Cassidy makes her salad dressing with 2 tablespoons of olive oil, 3 tablespoons of lemon juice, and 1 tablespoon of vinegar. She argues that she and Craig made the same salad dressing because 1 batch of her dressing has exactly the same amount of tablespoons as his. What is different about their salad dressings? How will they taste different? i. How many tablespoons of each ingredient will Cassidy need to make 1.5 cups of her Greek salad dressing?

Let's break down the problem step by step.

### Part 1: Craig's Salad Dressing
You mentioned Craig needs to figure out how many tablespoons of each ingredient he will need. However, the specific quantities Craig uses for his dressing are not provided. Assuming he is making the same total volume as Cassidy's dressing, the problem focuses more on comparing their dressings and scaling Cassidy's recipe.

### Part 2: Cassidy's Salad Dressing
Cassidy's salad dressing consists of:
- **2 tablespoons of olive oil**
- **3 tablespoons of lemon juice**
- **1 tablespoon of vinegar**

Total number of tablespoons in Cassidy's dressing:  
\[ 2 \text{ (olive oil)} + 3 \text{ (lemon juice)} + 1 \text{ (vinegar)} = 6 \text{ tablespoons} \]

### Part 3: Comparison with Craig's Dressing
Cassidy argues that she and Craig made the same dressing because the total number of tablespoons is the same. However, the proportions of the ingredients are likely different, which will affect the taste:

- **Olive Oil**: Cassidy uses \( \frac{2}{6} = \frac{1}{3} \) of her dressing as olive oil.
- **Lemon Juice**: Cassidy uses \( \frac{3}{6} = \frac{1}{2} \) as lemon juice.
- **Vinegar**: Cassidy uses \( \frac{1}{6} \) as vinegar.

If Craig has different proportions (even if the total volume in tablespoons is the same), his dressing will taste different. The taste differences could be due to variations in the acidity, richness (from the olive oil), or tanginess (from the vinegar). 

### Part 4: Scaling Cassidy's Recipe to 1.5 Cups
1 cup = 16 tablespoons, so 1.5 cups = 24 tablespoons.

To find out how many tablespoons of each ingredient Cassidy needs for 1.5 cups:

- **Olive Oil**:  
\[ \text{Olive Oil} = \frac{1}{3} \times 24 \text{ tablespoons} = 8 \text{ tablespoons} \]

- **Lemon Juice**:  
\[ \text{Lemon Juice} = \frac{1}{2} \times 24 \text{ tablespoons} = 12 \text{ tablespoons} \]

- **Vinegar**:  
\[ \text{Vinegar} = \frac{1}{6} \times 24 \text{ tablespoons} = 4 \text{ tablespoons} \]

So, Cassidy will need:
- **8 tablespoons of olive oil**
- **12 tablespoons of lemon juice**
- **4 tablespoons of vinegar**

### Taste Differences:
- **Craig's dressing** might be richer, more acidic, or more tangy depending on how the proportions of his ingredients compare to Cassidy's.
- **Cassidy's dressing** has a balanced mix with a significant lemon juice content, making it likely more acidic and tangy compared to one with more oil or vinegar.

Would you like further details or have any questions?

### Follow-up Questions:
1. How can the ratio of ingredients in a salad dressing affect its texture?
2. What is the significance of acidity in a salad dressing's flavor profile?
3. How would increasing the amount of olive oil affect the taste of Cassidy's dressing?
4. How can you modify a dressing recipe to make it less acidic?
5. What are some common substitutions for vinegar in salad dressings?

### Tip:
When adjusting recipes, always maintain the ratio of ingredients to keep the intended flavor balance.

Explore how to calculate ingredient ratios and scale recipes for salad dressings. This problem involves understanding the ratio of ingredients in salad dressings and scaling Cassidy's recipe to make 1.5 cups of Greek salad dressing. Learn how different ingredient proportions affect taste.

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