A theater sells adult tickets for $8.00 and children's tickets for $5.50. Sally but some of each kind (not the same number) and paid a total of $78.50. which equation represents this situation.

A) x+y=78.5
B) 13.5x=78.5
C) 13.5xy=78.5
D) 8x+5.5y=78.5

Let's represent the number of adult tickets Sally bought as 'x' and the number of children's tickets as 'y'.

The cost of each adult ticket is $8.00, so the total cost of adult tickets would be 8x.
The cost of each children's ticket is $5.50, so the total cost of children's tickets would be 5.50y.

The total cost of all the tickets Sally bought is $78.50, which can be represented as:

8x + 5.50y = 78.50

Therefore, the equation that represents this situation is D) 8x + 5.5y = 78.5.

Let's break down the information given in the question:

- The price of an adult ticket is $8.00.
- The price of a children's ticket is $5.50.
- Sally bought some of each kind of ticket.
- The total amount Sally paid for the tickets is $78.50.

Now, let's use this information to create an equation that represents the situation.

Let's assume that Sally bought "x" adult tickets and "y" children's tickets.

For adult tickets, Sally paid a total of $8.00 multiplied by the number of adult tickets, which is 8x.
For children's tickets, Sally paid a total of $5.50 multiplied by the number of children's tickets, which is 5.5y.

Since the total amount Sally paid is $78.50, we can now set up an equation:

8x + 5.5y = 78.50.

Therefore, the equation that represents this situation is D) 8x + 5.5y = 78.5.

Depending on how x and y are defined.

If x is the number of adult tickets, then 8x would be the cost of the adult tickets
If y is the number of children tickets, then 5.5y would be the cost of the children tickets

so.... , what do you think?