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2 years ago

To make a quilt, a quilter is buying fabric in two colors, blue and green.

Mathematics

1 answer:

egoroff_w [7]2 years ago

3 0

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

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