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 field 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 find out how many field goals and how many free throws Wilt made.

Answer 1

Step-by-step explanation:

Let the shots that were field goals be x

Let the shots that were free throws be y

If the total shots were 64, then:

x+y = 64 ...... 1

If some of these shots were field goals worth 2 pts each and some were free throws worth 1 pt each, then the equation relating total number of points is:

2x + y = 100......2

Solve 1 and 2 simultaneously:

x+y = 64 ...... 1

2x + y = 100......2

Subtract both equations:

x - 2x = 64-100

-x = -36

x = 36

Substitute x= 36 into equation 1:

x+y = 64

36+y = 64

y = 64 - 36

y = 28

Hence Wilt made 36 field goals and 28 free throws

Answer 2

Answer:

x+y = 64

36+y = 64

y = 64 - 36

y = 28

36 field goals and 28 free throws

Step-by-step explanation: