A 7-day pass to all theme parks for one person costs $230. The management gives a concession to a group of 46 tourists. For every 3 tourists who purchase the 7-day pass, the 4th 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 3 tourists, 4th tourist gets free access.

Number of tourists in eact set
= 3 + 1
= 4

Number of sets of 4 tourists
= 46 ÷ 4
= 11 r 2 

There are 11 sets of 4 tourists in 46 tourists, so 11 tourists will get free access.

Number of tickets to be paid for
= 46 - 11
= 35

Total cost of tickets
= 35 x 230
= $8050

Cost for each tourist
= 8050 ÷ 46
= $175
 
Answer(s): $175