Question

Lincoln High School’s basketball team won the regional playoffs scoring a

total of 60 points, not including free throws. The team made a total of 26
baskets; some were 2-point shots, and the rest were 3-point shots. How
many 2-point shots did the team make?

8

12

13

18

Answer 1

18 2-point shots.

Explanation:

Two equations.

First modeling 2 point and 3 point shots as x and y.

2x + 3y = 60

Second, modeling the number of shots.

x + y = 26

Which you can alter to substitute.

x = 26 - y

Substitute.

2(26 - y) + 3y = 60

52 - 2y + 3y = 60

y = 8

The team made 8 3-point shots and 18 2-point shots.