Question

Michelle is puchsing fabric for two new sewing projects, a hat and a tote bag. The two projects each need red and blue 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 oo each color of fabric cost?

Answer 1

Red: $5

Blue: $4

Explanation:

Let the cost of one yard of red fabric be r and the cost of one yard of blue fabric be b.

Then, 2r+b=14 and 2r+4b=26.

Subtracting the equations yields 3b=12, and thus b=4.

Substituting this back into the original equation, 2r+4=14, and thus r=5.

This means a yard of red fabric is $5 and a yard of blue fabric is $4.