Question

At a basketball​ game, a team made

52 successful shots. They were a combination of​ 1- and​ 2-point shots. The team scored
88 points in all. Write and solve a system of equations to find the number of each type of shot.

Answer 1

Number of 1 point shots = 16

Number of 2 point shots = 36

Explanation:

Let,

x be the number of 1 point shots

y be the number of 2 point shots

According to given statement;

x + y = 52 Eqn 1

x + 2y = 88 Eqn 2

Subtracting Eqn 1 from Eqn 2

x + 2y - x - y = 88 - 52

y = 36

Putting y = 36 in Eqn 1

x + 36 = 52

x = 52 - 36

x = 16

Hence,

Number of 1 point shots = 16

Number of 2 point shots = 36