Basketball Formulas

Question

The formula T = 3x + 2y + f can be used to calculate the total number of points made in a basketball game where:

x = number of three-point goals

y = number of two-point goals

f = number of free throws made

T = total number of points

a) Find the total number of points for a game where 12 three-point goals, 15 two-point goals and 7 free throws were made.

b) Find the number of three-point goals made if the total number of points was 36 with 5 two-point goals made and 5 free throws made.

Answer 1

(a) T = 3x + 2y + f, where x=12, y=15, f=7

= 3(12) + 2(15) + 7

= 36 + 30 + 7

= 73

(b) 36 = 3x + 2(5) + 5

36 = 3x + 10 + 5

36 = 3x + 15

21 = 3x

x=7