Question

HELP ASAP PLEASE 100 POINTS GIVEN!!!!!!!!

Smith was the top scorer in a​ women's professional basketball league for the 2006 regular​ season, with a total of 850 points. The number of​ two-point field goals that Lindsey made was 57 less than double the number of​ three-point field goals she made. The number of free throws​ (each worth one​ point) she made was 41 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 Lindsey Smith made during the 2006 regular season.

Answer 1

Given that :

Total point = 867

Let :

number of 3 point goals = p

Number of 2 point goals = 2p - 66

Number of 1 point goals = (2p - 66) - 36 = 2p - 102

Hence,

3p + 2(2p - 66) + 2p - 102 = 867

3p + 4p - 132 + 2p - 102 = 867

3p + 4p + 2p - 234 = 867

9p - 234 = 867

9p = 867 + 234

9p = 1101

p = 122.33

2 pointer = 2p - 66

2(122.33) - 66 = 178.67

1 point = 2p - 102

2(122.33) - 102

= 142.67

Answer 2

Given that :

Total point = 867

Let :

number of 3 point goals = p

Number of 2 point goals = 2p - 66

Number of 1 point goals = (2p - 66) - 36 = 2p - 102

Hence,

3p + 2(2p - 66) + 2p - 102 = 867

3p + 4p - 132 + 2p - 102 = 867

3p + 4p + 2p - 234 = 867

9p - 234 = 867

9p = 867 + 234

9p = 1101

p = 122.33

2 pointer = 2p - 66

2(122.33) - 66 = 178.67

1 point = 2p - 102

2(122.33) - 102

= 142.67