A basketball team recently scored a total of 92 points on a combination of​ 2-point field​ goals, 3-point field​ goals, and​ 1-point foul shots.​ Altogether, the team made 51 baskets and 22 more​ 2-pointers than foul shots. How many shots of each kind were made?

Answer 1

If there are x 1-pts, y 2-pts and z 3-pts, then we have

x+2y+3z = 92
x+y+z = 51
y = x+22

Now just grind it out.

Answer 2

Freud