Question

At a basketball game, a team made 52 successful shots. They were a combination of 1- and 2-point

shots. The team scored 87 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

17 for 1 point shots and 35 for two point shots.

Explanation:

let the number of 1 point shots be x

let the number of 2 point shots be y

x + y = 52 (1)

x + 2y = 87 (2)

subtracting (1) from (2)

y = 35

from (1) x = 52 - y = 52 - 35 = 17

Hence number of 1 pointers = 17

number of 2 point shots = 35

checking; 17 + 35 =52 ; and 17+ 2*35 = 87