How many points did she score

Question

Lindsey Wilson was the top scorer in a woman’s professional basketball league for the 2006 regular season, with a total of 814 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 23 less than the number of two point field goals she made. Fine how many free throws two point field goals and three point field goals Lindsey Wilson made during the 2006 regular season

Answer 1

Let x = the number of three point field goals that Lindsey made

Let 2x - 57 = the number of two point field goals that Lindsey made

Let 2x - 57 - 23 = 2x - 80 = the number of free throws that Lindsey made

3x + 2(2x - 57) + 1(2x - 80) = 814

3x + 4x - 114 + 2x - 80 = 814

9x = 1008

x = 112

2x - 57 = 2(112) - 57 = 167

2x - 80 = 2(112) - 80 = 144