Emily Drew was the top scorer in a women's professional basketball league for the 2006 regular season, with a total of 862 points. The number of two-point field goals that Emily
made was 76 less than double the number of three-point field goals she made. The number
of free throws (each worth one point) she made was 26 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 Drew made during the 2006 regular season.

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.

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step-by-step explanation:

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