Set up a system of equations.
that means:
2a+3k=47
3a+5k=74.75
Which means
6a+9k=141
6a+10k=149.5
If we subtract we get that
-1k=-8.5
One kid costs 8.5
Plug this back into the equation and you get that 25.5+2a=47. That means adults cost 10.75
Kids: 8.5
Adults: 10.75