A salad dressing recipe uses 10 parts oil, 4 parts vinegar, and 2 parts honey, Jenna has 2 1/2 cups of oil and wants to use it all for the recipe. How much vinegar will she need?

To solve this problem, we need to first understand the ratio of the ingredients in the recipe. The ratio is given as:

\[
\text{Oil} : \text{Vinegar} : \text{Honey} = 10 : 4 : 2
\]

Jenna has 2 1/2 cups of oil, and she wants to use it all. First, let's convert 2 1/2 cups to an improper fraction:

\[
2 \frac{1}{2} = \frac{5}{2} \text{ cups}
\]

Next, we need to find out how many parts this represents by setting up a proportion:

If 10 parts oil = 2 1/2 cups, then:

\[
\frac{5}{2} \text{ cups} = 10 \text{ parts}
\]

Now, to find out how much vinegar is needed, we use the fact that the ratio of oil to vinegar is 10:4. So, for every 10 parts of oil, 4 parts of vinegar are needed. 

Let's set up the proportion:

\[
\text{Vinegar needed} = \frac{4}{10} \times \frac{5}{2} = \frac{2}{5} \times \frac{5}{2} = 1 \text{ cup}
\]

Thus, Jenna will need **1 cup** of vinegar.

Would you like to explore more details or have any further questions?

Here are 8 related questions:
1. How much honey will Jenna need for this recipe?
2. What is the total volume of the salad dressing Jenna will make?
3. If Jenna had 5 cups of oil, how much vinegar would she need?
4. How do you scale a recipe proportionally?
5. What is the importance of maintaining ratios in recipes?
6. How can you convert fractions to decimals when scaling recipes?
7. How would the recipe change if the ratio of oil to vinegar were 10:5 instead?
8. How much vinegar would be needed if Jenna had only 1 cup of oil?

**Tip:** When scaling a recipe, always adjust all ingredients proportionally to maintain the intended flavor and consistency.

Explore how to calculate the amount of vinegar needed in a salad dressing recipe using ratio and proportion. Jenna has 2 1/2 cups of oil and wants to use it all. Learn the step-by-step solution with detailed calculations. Suitable for Grades 6-8.

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