A 1-month pass to all theme parks for one person costs $220. The management gives a concession to a group of 55 tourists. For every 6 tourists who purchase the 1-month pass, the 7th tourist gets free access to the theme parks. 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
= 55 ÷ 7
= 7 r 6 

There are 7 sets of 7 tourists in 55 tourists, so 7 tourists will get free access.

Number of tickets to be paid for
= 55 - 7
= 48

Total cost of tickets
= 48 x 220
= $10560

Cost for each tourist
= 10560 ÷ 55
= $192
 
Answer(s): $192