The owner of a clothing store buys T-shirts for dollars each and sells them for dollars each. Last month she bought 600 T-shirts and sold 500 of them and made a proﬁt of $2,800. This month she bought 400 T-shirts and sold them all and made a proﬁt of $2,400. Which system of equations can be used to determine the values of and ?

Question

The owner of a clothing store buys T-shirts for   dollars each and sells them for   dollars each. Last month she bought 600 T-shirts and sold 500 of them and made a proﬁt of $2,800. This month she bought 400 T-shirts and sold them all and made a proﬁt of $2,400. Which system of equations can be used to determine the values of   and  ?

GPT 3.5 · Answer

Let the cost of each T-shirt be represented by C and the selling price of each T-shirt be represented by S.

From the given information, we can set up the following equations:

1. 600C - 500S = 2800 (Profit from last month)
2. 400C - 400S = 2400 (Profit from this month)

Therefore, the system of equations that can be used to determine the values of C and S is:

600C - 500S = 2800
400C - 400S = 2400