Marques is a high school basketball player. In a particular game, he made some three point shots and some free throws (worth one point each). Marques made a total of 8 shots altogether and scored a total of 12 points. Determine the number of three point shots Marques made and the number of free throws he made.
Let's denote the number of three point shots Marques made as x and the number of free throws he made as y.
We know that x + y = 8 (total shots made)
And we also know that 3x + y = 12 (total points scored)
From the first equation, we can rewrite it as y = 8 - x and substitute this into the second equation to get:
3x + 8 - x = 12
2x = 4
x = 2
Thus, Marques made 2 three point shots and 6 free throws.