A 7-day pass to all theme parks for one person costs $300. The management gives a concession to a group of 50 tourists. For every 6 tourists who purchase the 7-day 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
= 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 300
= $12900

Cost for each tourist
= 12900 ÷ 50
= $258
 
Answer(s): $258