Question

A fruit smoothie recipe calls for 5 cups of yogurt for every 10 oranges.
The recipe uses 5 cups of yogurt for every 10 oranges. Record the recipe in the table.
Cups of Yogurt Number of Oranges
5
10
Excellent!
Find the unit rate. How many oranges do you need for 1 cup of yogurt?
Cups of Yogurt Number of Oranges
5 10
1
2
Good work!
Use the unit rate to fill in the number of oranges you need for 4 cups of yogurt and 6 cups of yogurt.
Cups of Yogurt Number of Oranges
5 10
1 2
4
6

Answer 1

Sure! Let's break down the recipe and the calculations based on the information you've provided.

### Recipe Table
We can start by filling in the table with the provided data:

| Cups of Yogurt | Number of Oranges |
|----------------|--------------------|
| 5 | 10 |

### Finding the Unit Rate
To find the unit rate, we need to determine how many oranges correspond to 1 cup of yogurt.

Since the recipe states that 5 cups of yogurt require 10 oranges, we can calculate the unit rate as follows:

\[
\text{Unit Rate} = \frac{\text{Number of Oranges}}{\text{Cups of Yogurt}} = \frac{10 \text{ oranges}}{5 \text{ cups of yogurt}} = 2 \text{ oranges per cup of yogurt}
\]

This means you need **2 oranges for 1 cup of yogurt**.

### Filling in the Number of Oranges for 4 and 6 Cups of Yogurt
Using the unit rate we found, we can calculate the number of oranges needed for different cups of yogurt.

1. For **4 cups of yogurt**:
\[
\text{Number of Oranges} = 4 \text{ cups} \times 2 \frac{\text{oranges}}{\text{cup}} = 8 \text{ oranges}
\]

2. For **6 cups of yogurt**:
\[
\text{Number of Oranges} = 6 \text{ cups} \times 2 \frac{\text{oranges}}{\text{cup}} = 12 \text{ oranges}
\]

### Updated Recipe Table
Now we can fill in the table with the newly calculated values:

| Cups of Yogurt | Number of Oranges |
|----------------|--------------------|
| 5 | 10 |
| 1 | 2 |
| 4 | 8 |
| 6 | 12 |

This completes your request! If you have any further questions or needs, feel free to ask.