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.

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

c.

step-by-step explanation:

because first you have to add the 4x, 9x, and the 7x together and you get 20x and then you add the last numbers up and you get 5and then you put the subtraction sign in there and that's how you get the answer.