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.

Answer 1

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.