Question

The wildcats basketball team scored 18 points in the first half of the game. All the planes came from either two or three point baskets. If a total of eight shots were made (some two pointers and some three pointers), how many of each type of shot were made

Answer 1

3 two pointers and 4 three pointers

Answer 2

The number of two pointers made are: 6

and the number of three pointers made are: 2

Explanation:

Let the number of two pointers be : x

and the number of three pointers be : y.

The wildcats basketball team scored 18 points in the first half of the game.

This means that:

2x+3y=18-------(1)

Also, a total of eight shots were made.

This means that:

x+y=8

i.e.

x=8-y--------(2)

On putting equation (2) in equation (1) we have:

2(8-y)+3y=18

16-2y+3y=18

16+y=18

y=18-16

i.e.

y=2

On putting the value of y in equation (2) we have:

x=8-2

i.e.

x=6