To solve the problem, we can use the given ratio of William's crackers to Daphne's, which is 3:5. This means that for every 3 crackers William has, Daphne has 5.
Now, let's represent the total number of parts in the ratio:
- William's crackers: 3 parts
- Daphne's crackers: 5 parts
- Total parts = 3 + 5 = 8 parts
Next, we know that the total number of crackers is 48. To find the value of one part, we can divide the total number of crackers by the total number of parts:
\[ \text{Value of one part} = \frac{\text{Total crackers}}{\text{Total parts}} = \frac{48}{8} = 6 \]
Now that we have the value of one part, we can find out how many crackers each person has:
- William's crackers: \(3 \times 6 = 18\)
- Daphne's crackers: \(5 \times 6 = 30\)
Therefore, Daphne has 30 crackers.
To visualize this with a tape diagram, we can draw a simple representation:
- For William: 🟦🟦🟦 (3 parts)
- For Daphne: 🟩🟩🟩🟩🟩 (5 parts)
Thus, the tape diagram would show that William has 3 sections (each representing 6 crackers) and Daphne has 5 sections (each representing 6 crackers), confirming the total of 48 crackers.
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