William and Daphne both have crackers for a snack. The ratio of William’s crackers to Daphne’s is 3:5 . If there are 48 crackers total, how many crackers does Daphne have? Use a tape diagram to help organize your thinking.(1 point)

Question

crackers

Answer 1

Let's start by representing the ratio between William's and Daphne's crackers using a tape diagram.

We know that the ratio of William's to Daphne's crackers is 3:5. This means that for every 3 crackers William has, Daphne has 5 crackers.

To represent this on a tape diagram, we can draw two sections or "tapes", one for William and one for Daphne. The length of each section represents the number of crackers each person has.

Since we know that the total number of crackers is 48, we can divide the total length of the tape into 8 equal parts (3 parts for William and 5 parts for Daphne).

To find the length of each part, we divide 48 by 8:
48/8 = 6

So each part represents 6 crackers.

Now we can draw the tape diagram. We'll divide it into 8 parts, with 3 parts for William and 5 parts for Daphne.

William: 6 6 6
Daphne: 6 6 6 6 6

Since each part represents 6 crackers, we can calculate how many crackers Daphne has by multiplying the number of parts she has (5) by the size of each part (6).

Daphne has 5 * 6 = 30 crackers.

Therefore, Daphne has 30 crackers.