Question

A basketball team scored 82 points in a game. The players made no free throws,and the number of two point field goals was 2 more than 5 times the number of three point shots. How many of each shot did they make?

Answer 1

3 points = 6

2 points = 32

Explanation:

Points scored = 82

Let

Number of 2 points goals = x

Number of 3 point goals = y

2x + 3y = 82 - - (1)

x = 5y + 2 - - - (2)

(1) Becomes :

2(5y + 2) + 3y = 82

10y + 4 + 3y = 82

13y = 82 - 4

13y = 78

y = 78/13

y = 6

x = 5y + 2

x = 5(6) + 2

x = 30 + 2

x = 32