Question

Sarah Drew was the top scorer in a​ women's professional basketball league for the 2006 regular​ season, with a total of 856 points. The number of​ two-point field goals that Sarah made was 67 less than double the number of​ three-point field goals she made. The number of free throws​ (each worth one​ point) she made was 32 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 Sarah Drew made during the 2006 regular season.

Answer 1

Free throws= 309 goals

Two-point field​ goals=341 goals

Three-point field goals=204goals

Explanation:

This is a word problem, let us bring out all varibles

Let the number of three-point field goals =x

Two-point field goals= 2x-67

Free throws =(2x-67 )-32

Free throws =2x-67-32

Free throws =2x-99

Hence the mathematical expression for the total goals is

x+2x-67 +2x-99= 856

collecting like terms

x+2x+2x-67-99=856

5x-166=856

5x=856+166

5x=1022

divide both sides by 5 we have

x=1022/5

x=204.4

hence

1. Three-point field goals=204goals

2. Two-point field goals= 2x-67

=2(204)-67

=408-67

=341 goals

3. Free throws =2x-99

=2(204)-99

=408-99

=309 goals