In a basketball game sue scored 5 more points than rose. amy scored 9 points less then sue. if they scored 52 points in all, how many did each person score

We can look at this equation then fill in the variables as we go.
S+R+A=52
Each variable shows the number of points each person obtained(first letter of their name).
We know that sue scored 5 more than rose. S=5+R
(5+R)+R+A=52
Amy scored 9 less than sue. If the scored 9 less than sue, we can just subtract 9 from the equation 5+R=S
That means Amy scored 4 less than Rose.
(5+R)+R+(R-4)=52
5+R+R+R-4
3R+1=52
3R=51
R=17
Rose scored 17 points, which means Sue scored 22 since she scored 5 more. Amy scored 13 since she scored 9 less than Sue and 4 less than Rose. Let's check.
17+22+13=30+22=52
So, Rose scored 17 points, Sue scored 22 points, and Amy scored 13.

Sue: 22 points
amy: 13 points
rose: 17 points

Just turn the whole gym into pie