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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.

Respuesta :

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

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

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