Final answer:
The Cullen family can buy a maximum of 5 adult tickets to Six Flags with their remaining $204 after purchasing tickets for their three children, with $6 leftover. If nothing else is specified, children between the age of 0 and 15 are illegible for children tickets/prices. That means that from the age of 16, you will need an adult ticket.
Step-by-step explanation:
The question involves calculating the maximum number of adult tickets the Cullen family can purchase for a trip to Six Flags, given that they already plan to buy tickets for their three children and have $300 in cash. First, we need to calculate the total cost of the children's tickets.
Cost of children's tickets = 3 × $32 = $96
Next, we subtract the cost of the children's tickets from the total cash to determine the remaining amount available for adult tickets:
$300 - $96 = $204
Now, divide the remaining amount by the cost of an adult ticket to find out the maximum number of adult tickets they can buy:
Maximum number of adult tickets = $204 ÷ $38
To find the maximum whole number of tickets, we round down since we cannot purchase partial tickets. The maximum number of adult tickets that the Cullen family can buy is 5, with $6 remaining.
The Cullen family has $300 cash and they have three children. The price of each child ticket is $32, so the total cost for the children's tickets is $32 x 3 = $96. Therefore, they have $300 - $96 = $204 left to spend on adult tickets. Since the price of each adult ticket is $38, the maximum amount of adult tickets they can purchase is $204 ÷ $38 = 5.36 (rounded down to the nearest whole number).