Question

In a basketball game, the star player scored a total of 35 points. In basketball, it is possible to make a 3 point basket, a 2 point basket, or a 1 point free throw. He made as many 2 pointers as 3 pointers and free throws combined. He scored 1 point more with 2 pointers than he did with 3 pointers and free throws combined. How many of each type of score did he make?

Answer 1

If there are x 1-pters, y 2-pters and z 3-ptrs, then
x+2y+3z = 35
y = x+z
2y = 3z+x+1
Now crank 'em out

Answer 2

A basketball player only scores two-point and three-point goals during a game. The basketball player scores a total of 25 points with a total of 11 goals during the game.

How many two-point goals does the basketball player score during the game?

Answer 3

69420