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)
crackers
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.
To solve this problem, we can use a tape diagram to represent the ratio of William’s crackers to Daphne’s.
Let's let the length of one section of the tape diagram represent the number of crackers. Since the ratio of William's crackers to Daphne's is 3:5, we can divide the tape into 3 sections for William and 5 sections for Daphne.
Each section of the tape represents an equal number of crackers. Therefore, we can represent the total number of crackers as the sum of the lengths of all the sections.
Since there are 8 total sections (3 + 5), and the total number of crackers is 48, we can divide 48 by 8 to find the number of crackers in one section.
48 crackers ÷ 8 sections = 6 crackers
Now we can multiply the number of sections representing Daphne's crackers (5) by the number of crackers in one section (6) to find the total number of crackers Daphne has.
5 sections * 6 crackers/section = 30 crackers
Therefore, Daphne has 30 crackers.
To solve this problem, we first need to understand the ratio of William's crackers to Daphne's crackers, which is given as 3:5. This means that for every 3 crackers William has, Daphne has 5 crackers.
To find out how many crackers Daphne has, we need to divide the total number of crackers into 8 equal parts (3 parts for William and 5 parts for Daphne). We can do this by dividing the total number of crackers by 8 (3 + 5) and then multiplying the result by 5 (Daphne’s portion).
So, let's calculate it step by step:
1. Start with the given ratio: 3:5.
2. Add up the parts of the ratio: 3 + 5 = 8.
3. Divide the total number of crackers by 8: 48 / 8 = 6.
4. Multiply the result by 5 to find Daphne's portion: 6 x 5 = 30.
Therefore, Daphne has 30 crackers.