Answer:
9 yards of each quilt.
Step-by-step explanation:
Let the length of each quilt be 'x'.
Given:
Length of green felt = 15 yards
Length of blue felt = 12 yards
Total number of quilts = 3
Total length of all the quilts in terms of 'x' is given as:
[tex]Total\ length=x+x+x=3x ----(1)[/tex]
Total length is also equal to the sum of the lengths of green and blue felts. So,
[tex]Total\ length=15+12=27--- (2)[/tex]
Now, equating equations (1) and (2), we get:
[tex]3x=27\\\\x=\frac{27}{3}\\\\x=9 [/tex]
Therefore, the length of each quilt is 9 yards.