A 1-week pass to all art galleries for one person costs $110. The management gives a concession to a group of 33 tourists. For every 4 tourists who purchase the 1-week pass, the 5th tourist gets free access to the art galleries. How much does each tourist pay in this arrangement if they share the total cost equally?
For every 4 tourists, 5th tourist gets free access.

Number of tourists in eact set
= 4 + 1
= 5

Number of sets of 5 tourists
= 33 ÷ 5
= 6 r 3 

There are 6 sets of 5 tourists in 33 tourists, so 6 tourists will get free access.

Number of tickets to be paid for
= 33 - 6
= 27

Total cost of tickets
= 27 x 110
= $2970

Cost for each tourist
= 2970 ÷ 33
= $90
 
Answer(s): $90