Answer:
Number of free throws = 155,
Number of two-points field goals= 168
Number of two-points field goals= 124
Step-by-step explanation:
Let x,y, and z be the numbers of free throws, two-point field goals and three-point field goals she made.
As she scored a total of 863 points, so
x+2y+3z=863...(i)
As the number of two-point field goals that Rebecca made was 80 less than double the number of three-point field goals she made, so
2z-y=80
Or y=2z-80...(ii)
As the number of free throws (each worth one point) she made was 13 less than the number of two-point field goals she made, so
y-x=13
-x= 13-y
-x= 13-(2z-80)
-x= 93-2z
x=2z-93...(iii)
Now, put the values from equation (ii) and (iii) to equation (i), we have
(2z-93)+2(2z-80)+3z=863
2z-93+4z-160+3z=863
9z=863+93+160=1116
z=1116/9=124
From equation (ii)
y=2x124-80=168
and from equation (iii)
x=2x124-93=155.
Hence, the number of free throws, two-point field goals, and three-point field goals Rebecca Smith made during the 2006 regular season are 155, 168, and 124 respectively.
