Billy jean is buying fabric. for the same material, sew right charges $4.00 per yard and an initial $5.00 convenience fee. stitch plus charges $6.00 per yard and a $2.00 convenience fee. how many yards will both companies charge equal amounts?

For this problem, there are two situations. To solve this, let's construct an algebraic equation for each. Let's find the total cost. Let x be the number of yards.

Situation 1: Cost = 4x + 5
Situation 2: Cost = 6x +2

Now, both situations have the same cost. So,

4x + 5 = 6x + 2
6x - 4x = 5 - 2
2x = 3
x = 3/2 or 1.5 yards