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?

Question

Mathematics

Amy Hardin

28 November, 19:31

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?

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Answers (1)

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Jaidyn Rosario · Answer 1

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