The owner of a clothing store buys T-shirts for c dollars each and sells them for p 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 c and p?

500p - 600c = 2800

400p - 400c = 2400

Step-by-step explanation:

Given that the owner of a clothing store buys T-shirts for c dollars each and sells them for p dollars each

Then the profit or loss made on each T-shirts sold is p - c.

Last month she bought 600 T-shirts and sold 500 of them and made a profit of $2,800

This means that

500p - 600c = 2800

and

This month she bought 400 T-shirts and sold them all and made a profit of $2,400 then,

400p - 400c = 2400

Thus, the system of equations needed to determine the values of c and p would be

500p - 600c = 2800

400p - 400c = 2400

600c - 500p = $2800

400c - 400p = $2400

Step-by-step explanation:

c = t-shirt costs

p = selling price

Profit = Cost - selling price

Last month = 600c - 500p = $2800

This month = 400c - 400p = $2400