Question

Lindsey Smith was the top scorer in a women's professional basketball league for the 2006 regular season, with a total of 864 points. The number of two-point field goals that Lindsey made was 62 less than double the number of three-point field goals she made. The number of free throws (each worth one point) she made was 30 less than the number of two-point field goals she made. Find how many free throws, two-point field goals, and three-point field goals Lindsey Smith made during the 2006 regular season.

Answer 1

Number of 3 point goals = 85

Number of 2 point goals = 3(85) - 62 = 193

Number of free throws = 3(85)- 32 = 223

Explanation:

Given that :

2 point goals

Number of 3 point goals = x

Number of 2 point goals = 3x - 62

Number of free throws = 3x - 62 - 30 = 3x - 32

3x + 2(3x - 62)+ 3x - 32= 864.

3x + 6x - 124 + 3x - 32 = 864

12x = 864+ 124 + 32

12x =1020

x = 1020 / 12

x = 85

Number of 3 point goals = 85

Number of 2 point goals = 3(85) - 62 = 193

Number of free throws = 3(85)- 32 = 223