Question

At a basketball game, a team made 57 successful shots. They were a combination of 1- and 2-point

shots. The team scored 98 points in all. Write and solve a system of equations to find the number of
each type of shot.
There were
2-point shots and 1-point shots.

Answer 1

• 2-point shots = 41, 1-point shots = 16

Explanation:

Let the number of 1-point shots is x and 2-points shots is y.

The system as per question is

• x + y = 57
• 1*x + 2*y = 98

Solve it by elimination, subtract the first equation from the second

• x + 2y - x - y = 98 - 57
• y = 41

Find the value of x

• x + 41 = 57
• x = 16