QUESTION IMAGE
Question
complete the table to show how many cups of broth and vegetables you need to make 48 cups of vegetable soup.
| broth (cups) | vegetables (cups) | total (cups) |
|---|---|---|
| 48 |
Step1: Find the ratio factor
First, we know that the original total is 8 cups (2 broth + 6 vegetables). We need to find how many times 8 goes into 48. So we calculate \( \frac{48}{8} = 6 \). This means we need to multiply the original amounts of broth and vegetables by 6.
Step2: Calculate cups of broth
The original amount of broth is 2 cups. Multiply by the ratio factor: \( 2\times6 = 12 \) cups of broth.
Step3: Calculate cups of vegetables
The original amount of vegetables is 6 cups. Multiply by the ratio factor: \( 6\times6 = 36 \) cups of vegetables.
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For broth: 12, for vegetables: 36. So the table should be:
| Broth (cups) | Vegetables (cups) | Total (cups) |
|---|---|---|
| 12 | 36 | 48 |