Question

Wilt Chamberlain once scored 100 points, setting a record for points scored in a single game. Chamberlain took only two-point shots and one-point foul shots. He made a total of 64 shots. How many shots of each type did he make?

Answer 1

He made 36 two point shots and 28 one-point foul shots

Explanation:

Let the number of two point shots be x and number one-point foul shots be y.

We are told that the total number of shots are 64 so:

x + y = 64 ⇔ y = 64 - x ...(1)

We are also told that he scored 100 points.

2x + y = 100 ...(2)

We can now solve these two equations simultaneously by substituting equation (1) and (2)

2x + y = 100

2x + (64 - x) = 100

x = 36

which implies that y = 28