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Darlene is making a quilt and she uses two types of fabric. The Sateen fabric costs $6 per yard and the Quilting fabric costs $4 per yard. She spends $76 on a total of 16 yards of the two fabrics at a fabric Store. How many did she buy of each?

Respuesta :

She bought 6 Sateen fabrics and 10 quilting fabrics.

She uses quilt to make two types of fabrics.

Let

the amount of each sateen fabric = x

the amount of each quilting fabric = y

The Sateen fabrics cost $6 per yard. Therefore for x amount it will be as follows;

  • 6x

The quilting fabrics cost $4 per yard. Therefore, for y amount it will be as follows:

  • 4y

Total yards:

  • x + y = 16

Total cost:

  • 6x + 4y = 76

Therefore,

x + y = 16

6x + 4y = 76

6x + 6y = 96

6x + 4y = 76

2y = 20

y = 20 / 2

y = 10

x + y = 16

x + 10 = 16

x = 16 - 10

x = 6

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