Final answer:
The basketball team sold 15 t-shirts and 8 hats as a fundraiser.
Step-by-step explanation:
The basketball team sold a total of 23 t-shirts and hats as a fundraiser. They made a profit of $246. Let's say they sold x t-shirts and y hats. According to the given information, we can set up the following equations:
x + y = 23
10x + 12y = 246
We can solve these equations using the method of substitution or elimination. Let's use the method of elimination:
- Multiply the first equation by 10 to make the coefficients of x in both equations the same: 10x + 10y = 230
- Subtract the modified first equation from the second equation to eliminate x: (10x + 12y) - (10x + 10y) = 246 - 230
- Simplify the equation: 2y = 16
- Divide both sides of the equation by 2 to solve for y: y = 8
- Substitute the value of y into the first equation to solve for x: x + 8 = 23
- Subtract 8 from both sides of the equation: x = 15
Therefore, they sold 15 t-shirts and 8 hats.