Answer:
To figure out how many adults and children bought tickets, we can set up a system of equations using the information provided. Let x be the number of adults and y be the number of children. We know that:
x + y = 500 (because a total of 500 people bought tickets)
17.95x + 12.95y = 7355 (because the total revenue from ticket sales is $7355)
We can use the first equation to solve for one of the variables in terms of the other variable. For example, we can substitute y = 500 - x into the second equation:
17.95x + 12.95(500 - x) = 7355
This simplifies to:
17.95x + 6475 - 12.95x = 7355
5x = 1880
x = 376
so there are 376 adults bought tickets and 500-376=124 children bought tickets.
Explanation: