*Help me solve this problem*

*A department store buyer purchased some shirts for $540. Then she sold all but eight of them. On each shirt sold, a profit of $6 (over the purchase price) was made. The shirts sold brought in revenue of $780. To help you answer the questions, use the following to help derive an equation. Let x represent the number of shirts bought initially. How many shirts were initially purchased and at what price?*

*(a) Express the number of shirts sold in terms of x.*

*(b) Express the purchase price for each shirt in terms of x.*

*(c) Express the selling price for each shirt in terms of x.*

*(d) Utilize the fact the number of shirts sold (a) times the selling price (c) brought in a revenue of $780 to derive an equation that you can solve and answer the questions.*

S = number of shirts

x = price

S*x = 540

6(S - 8) = 780

S = 540/x

6(540/x - 8) = 780

3240/x - 48 = 780

3240/x = 828

3240/828 = x

**x = 3.913 cost per shirt**

S(3.91) = 540

**S = 138 shirts bought**

**138 - 8 = 130 shirts sold.**

130 shirts sold.