Question

Sarah Wilson was the top scorer in a​ women's professional basketball league for the 2006 regular​ season, with a total of 818 points. The number of​ two-point field goals that Sarah made was 69 less than double the number of​ three-point field goals she made. The number of free throws​ (each worth one​ point) she made was 28 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 Wilson made during the 2006 regular season

Answer 1

Kindly check explanation

Explanation:

Given that:

Total point = 818

Let number of 3 point goals = p

Number of 2 point goals = 2p - 69

Number of 1 point = 2p - 69 - 28 = 2p- 97

3p + 2(2p - 69) + 1(2p - 97) = 818

3p + 4p - 138 + 2p - 97 = 818

9p - 235 = 818

9p = 818 + 235

9p = 1053

p = 117

Hence ;

number of 3 point goals = 117

Number of 2 point goals = 2(117) - 69 = 165

Number of 1 point = 2(117) - 97 = 137