A 2-week pass to all theme parks for one person costs $160. The management gives a concession to a group of 48 tourists. For every 6 tourists who purchase the 2-week 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
= 48 ÷ 7
= 6 r 6 

There are 6 sets of 7 tourists in 48 tourists, so 6 tourists will get free access.

Number of tickets to be paid for
= 48 - 6
= 42

Total cost of tickets
= 42 x 160
= $6720

Cost for each tourist
= 6720 ÷ 48
= $140
 
Answer(s): $140