Q:

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

Accepted Solution

A:
x + y = 23
10x + 12y = 246
[tex]x = 23 - y[/tex]
Put that into
[tex]10(23 - y) + 12y = 246 \\ 230 - 10y + 12y = 246 \\ 2y = 16 \\ y = 8[/tex]
Substitute that into
[tex]x = 23 - 8 \\ x = 15[/tex]
They sold 15 t-shirts and 8 hats.

Hope this helps. - M