A 1-month pass to all places of interest for one person costs $100. The management gives a concession to a group of 50 tourists. For every 6 tourists who purchase the 1-month pass, the 7th tourist gets free access to the places of interest. 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
= 50 ÷ 7
= 7 r 1 

There are 7 sets of 7 tourists in 50 tourists, so 7 tourists will get free access.

Number of tickets to be paid for
= 50 - 7
= 43

Total cost of tickets
= 43 x 100
= $4300

Cost for each tourist
= 4300 ÷ 50
= $86
 
Answer(s): $86