Question

the basketball tam sold t-shirts and hats as a fundraiser . they sold 23 items and made a profit of 246$ they made a profit of 10$ for every t-shirt they sold and a profit of 12$ for every hat they sold.

what is the number of t-shirts and the number of hats the team sold

Answer 1

Using two variables:
let the numbers of t-shirts be t
let the number of hats be h

h + t = 23 ------------> 5h + 5t = 115
12h + 10t = 246 ----> 6h + 5t = 123

subtract: h = 8 , sub back into h+t = 23 to get t = 15


Using one variable:
let the number of t-shirts be x
then the number of hats is 23-x
10x + 12(23-x) = 246
10x + 276 -12x = 246
-2x = --30
x = 15
then 23-15 = 8
etc.
same result