Question

At a basketball game, a team made 53 successful shots.They were a combination of 1- and 2-point shots. The team scored 91 points in all.Write and solve a system of equations to find the number of each type of shot.

Answer 1

15 1-point and 38 2-point shots

Explanation:

x: 1 point shots

y: 2 point shots

x + y = 53 (1)

1(x) + 2(y) = 91 (2)

From (1), x = 53 - y

In (2),

(53 - y) + 2y = 91

53 + y = 91

y = 91 - 53 = 38

x = 53 - 38 = 15