Question

Elerick made 20 baskets during a basketball game. The number of 3-point shots was two more than half the number of 2-point shots. How many of each type of shot did he make? How many total points did he get?

Answer 1

• 12 2-point shots and 8 3-point shots
• 48 points in general

Explanation:

The number of 3-point shots made is two more than half of the number of 2-point shots made.

Assume the number of 2-point shots is x.

Number of 3-point = 0.5x + 2

The relevant expression will be:

x + (0.5x + 2) = 20

1.5x + 2 = 20

1.5x = 20 - 2

x = 18/1.5

x = 12 shots

3 point shots = 20 - 12 = 8

There were 12 2-point shots and 8 3-point shots.

Total points :

= (12 * 2) + (8 * 3)

= 48 points