A 1-week pass to all art galleries for one person costs $120. The management gives a concession to a group of 40 tourists. For every 5 tourists who purchase the 1-week pass, the 6th 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 5 tourists, 6th tourist gets free access.

Number of tourists in eact set
= 5 + 1
= 6

Number of sets of 6 tourists
= 40 ÷ 6
= 6 r 4 

There are 6 sets of 6 tourists in 40 tourists, so 6 tourists will get free access.

Number of tickets to be paid for
= 40 - 6
= 34

Total cost of tickets
= 34 x 120
= $4080

Cost for each tourist
= 4080 ÷ 40
= $102
 
Answer(s): $102