Michelle is purchasing fabric for two new sewing projects: a hat and a tote bag. The two projects each need red and black fabric.

Question

Michelle is purchasing fabric for two new sewing projects: a hat and a tote bag. The two projects each need red and black fabric. The hat requires 2 yards of red fabric and 1 yard of black fabric. The tote bag requires 2 yards of red fabric and 4 yards of black fabric. Michelle paid $14 for the hat’s fabric and $26 for the tote bag’s fabric. How much does one yard of each fabric cost?

Edana · Answer

The cost of one yard of  black fabric  is  $4.   The cost of one yard of red  fabric  is  $5.     What are the linear functions that represent the question?  2r + b = 14  equation 1    2r + 4b = 26  equation 2   Where:   r = cost of one yard of  red fabric   b = cost of one yard of  black fabric       What is the cost of each type of fabric?  Subtract  equation 1  from  equation 2    3b = 12   b = 12 / 3   b = 4     Substitute for b in  equation 1   2r + 4 = 14   2r = 14 - 4   2r = 10   r = 10 / 2   r =  $5     To learn more about  linear functions , please check: https://brainly.com/question/26434260  #SPJ1

What are the linear functions that represent the question?

What is the cost of each type of fabric?

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