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)
The ratio of William's crackers to Daphne's is 3:5, which totals 8 parts. If there are 48 crackers total, each part is worth 48 ÷ 8 = 6 crackers.
Given that Daphne's share is 5 parts, she therefore has 5 * 6 = 30 crackers.
To solve this problem, let's use a tape diagram to represent the total number of crackers.
Let's say each box in the tape diagram represents the quantity of crackers.
First, we can represent William's crackers with 3 boxes.
W : W : W
Then, we can represent Daphne's crackers with 5 boxes.
D : D : D : D : D
Next, we know that the total number of boxes is equal to 48 crackers.
So we have 3 + 5 = 8 boxes in total.
To find the number of crackers in each box, we can divide 48 by 8.
48 / 8 = 6
Therefore, each box represents 6 crackers.
Since Daphne has 5 boxes, we can multiply the number of boxes by the number of crackers in each box to find out how many crackers she has.
5 boxes x 6 crackers = 30 crackers
Thus, Daphne has 30 crackers.
To solve this problem, we first need to understand the given information.
We are told that the ratio of William's crackers to Daphne's crackers is 3:5. This means that for every 3 crackers William has, Daphne has 5 crackers.
Let's use a tape diagram to help organize our thinking. Draw a rectangle to represent the total number of crackers. Divide the rectangle into two parts to represent William's crackers and Daphne's crackers.
Divide the rectangle representing the total number of crackers into 8 parts since the ratio is 3:5 (3 + 5 = 8 parts total).
Now, label 3 parts of the rectangle for William's crackers and 5 parts for Daphne's crackers.
To find the number of crackers Daphne has, we can use the ratio. We know that there are 48 crackers in total, so each part of the rectangle represents 48/8 = 6 crackers.
Now, multiply the number of parts representing Daphne's crackers (5 parts) by the number of crackers in each part (6 crackers) to find the total number of Daphne's crackers.
5 parts × 6 crackers/part = 30 crackers
Therefore, Daphne has 30 crackers.