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

Answer:

Free throws= 309 goals

Two-point field​ goals=341 goals

Three-point field goals=204goals

Step-by-step 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