Answer: 84 tickets
Step-by-step explanation:
We are told the ratio of the number of tickets Mark collected to the number of tickets Julia collected is 4:3
[tex]\frac{M}{J}=\frac{4}{3}[/tex] (1)
In addition, we are told Julia collected 36 tickets:
[tex]J=36[/tex] (2)
Substituting (2) in (1):
[tex]\frac{M}{36}=\frac{4}{3}[/tex] (3)
Isolating [tex]M[/tex]:
[tex]M=48[/tex] (4)
Adding Mark's tickets to Julia's:
[tex]M+J=48+36=84[/tex]
Therefore, both collected 84 tickets.
