Answer:
<h2>3.375yards of blue fabric </h2><h2>6.125yards of green fabric</h2>
Step-by-step explanation:
step one:
given data
blue fabric costs $9 a yard.
green fabric costs $13 a yard.
Let x represent the number of blue yards of fabric purchased and
let y represent the number of green yards of fabric purchased.
Step two:
The quilter needs at least 9.5 yards of fabric in total.
x+y>=9.5--------1
The quilter can spend up to $110 on fabric.
9x+13y<=110----2
from equation
x+y>=9.5
x=9.5-y
put x=9.5-y in equation 2 we have
9(9.5-y)+13y<=110----2
85.5-9y+13y=110
4y=110-85.5
4y=24.5
y=24.5/4
y=6.125
put y=6.125 in x=9.5-y to find x
x=9.5-6.125
x=3.375
Hence the quilt can purchase
3.375yards of blue fabric
6.125yards of green fabric
