A 1-week pass to all art galleries for one person costs $270. The management gives a concession to a group of 60 tourists. For every 6 tourists who purchase the 1-week pass, the 7th 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 6 tourists, 7th tourist gets free access.

Number of tourists in eact set
= 6 + 1
= 7

Number of sets of 7 tourists
= 60 ÷ 7
= 8 r 4 

There are 8 sets of 7 tourists in 60 tourists, so 8 tourists will get free access.

Number of tickets to be paid for
= 60 - 8
= 52

Total cost of tickets
= 52 x 270
= $14040

Cost for each tourist
= 14040 ÷ 60
= $234
 
Answer(s): $234