The price of each ticket is $42.50. So if Selene buys x tickets, the cost of x tickets will be 42.50x.
She has to pay $5 handling fee as well for purchasing the tickets online. So her total cost of the tickets will be:
Total Cost = 42.50x + 5
Selene got $250. This means she can spend a maximum of $250 on the tickets. Maximum of $250 means less than or equal to $250.
So, we can write the spending on the tickets in the form of following in equality:
42.50x + 5 ≤ 250
42.50x ≤ 245
x ≤ 5.76
This shows, Selene can buy 5.76 tickets. Since the number of tickets has to be a whole number we look for the nearest possible number. She cannot buy 6 tickets, as the cost will exceed $250. So the maximum tickets she can buy are 5.
The answer is 175 square inches because you have to multiply 5in•7in to get 35inches per picture and since there are five you have to multiply by 35•5=175