Question

Lindsey Smith was the top scorer in a women's professional basketball league for the 2006 regular season, with a total of 867 points. The number of two-point field goals that Lindsey made was 66 less than double the number of three-point field goals she made. The number of free throws (each worth one point) she made was 36 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. How many free throws, 3 pointers, and 2 pointers did she make?

Answer 1

Answer:

Kindly check explanation

Step-by-step explanation:

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

Note: you may need to recheck the parameters given, because the expected result should be whole numbers