Question

Enter the missing numbers in the boxes to complete the table of equivalent ratios of servings to cups of soup.

Servings Soup (c)
3
10
15
12 20

Answer 1

To complete the table of equivalent ratios for servings of soup to cups, we can establish a relationship between the servings and the number of cups of soup.

Assuming that we have a consistent ratio, let's denote the ratio as \( \frac{\text{Servings}}{\text{Cups of Soup}} \).

From the provided information, we have a couple of given ratios:

- For 12 servings, there are 20 cups of soup. This gives us a ratio of \( \frac{12}{20} \) or simplified \( \frac{3}{5} \).

Now let's find the missing values in the table using this ratio.

1. **For 3 Servings**:
\[
\text{Cups of Soup} = \frac{3}{5} \times 3 = \frac{9}{5} = 1.8 \text{ cups (approximately)}
\]

2. **For 10 Servings**:
\[
\text{Cups of Soup} = \frac{3}{5} \times 10 = \frac{30}{5} = 6 \text{ cups}
\]

3. **For 15 Servings**:
\[
\text{Cups of Soup} = \frac{3}{5} \times 15 = \frac{45}{5} = 9 \text{ cups}
\]

Now we’ll summarize the completed table:

| Servings | Soup (c) |
|----------|---------------|
| 3 | 1.8 |
| 10 | 6 |
| 15 | 9 |
| 12 | 20 |

So, the missing numbers are approximately:
- For 3 servings: 1.8 cups
- For 10 servings: 6 cups
- For 15 servings: 9 cups