Rebecca Wilson was the top scorer in a women's professional basketball league for the 2006 regular season, with a total of 846 points. The number of two-point field goals that Rebecca made was 77 less than double the number of three-point field goals she made. The number of free throws (each worth one point) she made was 30 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 Rebecca Wilson made during the 2006 regular season.

Number of two point goals = 169

Number of three point goals = 123

Number of free throws = 139

Step-by-step explanation:

Let the number of two point goals =

Let the number of three point goals =

Let the number of free throws =

As per the given statements:

Using equation (1):

...... (3)

Total number of points from two point goals  =

Total number of points from three point goals  =

Total number of points from free throws  =

using (1) and (3):

By (1):

By (3):

So, answers are:

Number of two point goals = 169

Number of three point goals = 123

Number of free throws = 139

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step-by-step explanation:

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