Question

Emily Wilson was the top scorer in a​ women's professional basketball league for the 2006 regular​ season, with a total of 854 points. The number of​ two-point field goals that Emily made was 73 less than double the number of​ three-point field goals she made. The number of free throws​ (each worth one​ point) she made was 34 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 Emily Wilson made during the 2006 regular season.
made

Answer 1

Answer:

Free throw: 139

2 pointers: 173

3 pts: 123

Step-by-step explanation:

Set x equal to the number of 3pts scored.

Then get 2x-73 from the given number of 2pts relative to 3pts.

Then get 2x-107 from the given number of free throws.

Set up an equation in reference to the number of 3pts and multiply by pts for each type to get:

3x+2(2x-73)+1(2x-107)=854

where 3x is pts from 3pts

2(2x-73) is pts from 2pts

1(2x-107) is pts from free throws.

Simplify to get:

9x-253=854

Solve:

9x=1107

x=123.

Then plug in the number of 3pts scored into the other numbers.