Problema Solution
lindsey wilson was the top scorer in a women's professional basketball league for the 2006 regular season, with a total of 835 points. the number to two-point field goals that lindsey made was 49 less than double the number of three-point field goals she made. the number of free throws (each worth one point) she made was 35 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 wilson made during the 2006 regular season.
Answer provided by our tutors
let
x = the number of free throws
y = the number of two-point field goals
z = the number of three-point field goals
Lindsey had total of 835 points
x + 2y + 3z = 835
the number to two-point field goals that Lindsey made was 49 less than double the number of three-point field goals she made
y = 2z - 49
the number of free throws (each worth one point) she made was 35 less than the number of two-point field goals she made
x = y - 35
by solving the system of equations
x + 2y + 3z = 835
y = 2z - 49
x = y - 35
we find
x = 142 free throws
y = 177 two-point field goals
z = 113 three-point field goals
click here to see the step by step solution of the system of equations
Lindsey made 142 free throws, 177 two-point field goals and 113 three-point field goals.