Answer :
Answer:
Of red fabric:
[tex]\displaystyle 3\frac{1}{3}\cdot 4=12\frac{4}{3}=13\frac{1}{3}[/tex]
Of yellow fabric
[tex]\displaystyle 2\frac{2}{3}\cdot 4=8\frac{8}{3}=10\frac{2}{3}[/tex]
Of white fabric
[tex]\displaystyle 4\frac{2}{3}\cdot 4=16\frac{8}{3}=18\frac{2}{3}[/tex]
Step-by-step explanation:
Proportions
We use proportions when the magnitudes involved in the solution of a problem depend on each other by a fixed factor. If X and Y are proportional, then X=k.Y, where k is any constant different from 0.
We have the amount of fabric Mary needs to make a quilt:
[tex]\displaystyle 3\frac{1}{3} \text{ yards of red fabric}\\\displaystyle 2\frac{2}{3} \text{ yards of yellow fabric}\\\displaystyle 4\frac{2}{3} \text{ yards of white fabric}[/tex]
If Mary wanted to make 4 quilts, she would need 4 times each amount of fabric:
Of red fabric:
[tex]\displaystyle 3\frac{1}{3}\cdot 4=12\frac{4}{3}=13\frac{1}{3}[/tex]
Of yellow fabric
[tex]\displaystyle 2\frac{2}{3}\cdot 4=8\frac{8}{3}=10\frac{2}{3}[/tex]
Of white fabric
[tex]\displaystyle 4\frac{2}{3}\cdot 4=16\frac{8}{3}=18\frac{2}{3}[/tex]