William and Daphne both have crackers for a snack. The ratio of William’s crackers to Daphne’s is 3:5

Question

. If there are 48 crackers total, how many crackers does Daphne have? Use a tape diagram to help organize your thinking.(1 point)
crackers

Answer 1

To solve the problem using a tape diagram, we'll first understand the ratio of William's crackers to Daphne's.

The ratio given is \(3:5\). This means that for every 3 parts that William has, Daphne has 5 parts.

1. Total Parts Calculation:

   • Total parts in the ratio = \(3 + 5 = 8\) parts.

2. Value of Each Part:

   • Since the total number of crackers is \(48\), we can find the value of each part by dividing the total number of crackers by the total parts: \[ \text{Value of each part} = \frac{48}{8} = 6 \]

3. Calculating Crackers for Each Person:

   • For William: \[ \text{William's crackers} = 3 \times 6 = 18 \]
   • For Daphne: \[ \text{Daphne's crackers} = 5 \times 6 = 30 \]

So, Daphne has 30 crackers.

This analysis can be represented as follows using a tape diagram:

• Draw a tape divided into 8 equal parts.
• Label 3 parts for William and 5 parts for Daphne.
• William has 3 parts, which totals to 18 crackers.
• Daphne has 5 parts, which totals to 30 crackers.

Thus, Daphne has 30 crackers.