Question

basketball team sell t-shirts and hats as a fundraiser they still hold a total of 23 items and made a profit of $246 they made a profit of $10 for every t-shirt and $12 for every hats they sold

Answer 1

x + y = 23
10x + 12y = 246

`x = 23 - y`
Put that into

`10(23 - y) + 12y = 246 \\ 230 - 10y + 12y = 246 \\ 2y = 16 \\ y = 8`
Substitute that into

`x = 23 - 8 \\ x = 15`
They sold 15 t-shirts and 8 hats.

Hope this helps. - M

Answer 2

Answer with Step-by-step explanation:

Let number of t-shirts=x

and number of hats=y

Basketball team sell t-shirts and hats as a fundraiser they still hold a total of 23 items

⇒ x + y = 23

They made a profit of $246, they made a profit of $10 for every t-shirt and $12 for every hats they sold

⇒ 10x + 12y = 246

Putting x = 23 - y in above equation, we get

⇒10(23 - y) + 12y = 246

⇒230 - 10y + 12y = 246

⇒2y = 16

⇒ y = 8

Substitute that into

x = 23 - 8 , we get

x = 15

Hence,they sold 15 t-shirts and 8 hats.