Question 550925
We have three unknowns so lets give them variables
federal will be f
state =s
retirement=r

We know the total of f,s and r is 102
f+s+r=102
the amount withheld for her state income tax is $13 more than that withheld for retirement.
s=13+r
The amount withheld for federal income tax is three times the amount for the state tax.
f=3s
Now lets look again at:
f+s+r=102
we can sub in for f
3s+s+r=102
4s+r=102
Now if we sub in again we find for s
4(13+r)+r=102
52+4r+r=102
5r=50
r=10

Going back to s=13+r
s=23

f=3s

f=69