Jamie brought $72 more than Sally brought.

Tia and Sally brought the same amount of money.
Sally brought $50 more than Kelly brought.

If their total souvenir money did not exceed $502, what is the greatest amount of money Jamie could have brought?

j=s+72, so s = j-72

t=s
s=k+50, so k=s-50=j-122

j+k+s+t <= 502
j+k+2s <= 502
j+j-122+j-72 <= 502
3j-194 <= 502
3j <= 696
j <= 232