Question

Professional basketball player Wilt Chamberlain once scored 100 points in a single game, from a total of 64 shots made. Some of these shots were eld goals worth 2 pts each and some were free throws worth 1 pt each (sorry, no 3 point shots in Wilt's time). Set up and solve a system of equations to nd out how many eld goals and how many free throws Wilt made.

Answer 1

x = 64 - y

x = 64 - 36

x = 28

Explanation:

Answer 2

1 point = 28

2 points = 36

Explanation:

Given that:

Total points scored = 100

Total shots made = 64

Let x = 1 point shot, y = 2 point shot

x + y = 64 - - - - (1)

1x + 2y = 100 - - - - (2)

x = 64 - y

Put x = 64 - y in (1)

64 - y + 2y = 100

64 + y = 100

y = 100 - 64

y = 36

Hence,

From ;

x = 64 - y

x = 64 - 36

x = 28