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 $75.50. which equation represents this situation.
A) x+y=78.5
B) 13.5x=75.5
C) 13.5xy=78.5
D) 8x+5.5y=78.5
Please post your answer.
even without doing the math, it should be clear that only one choice involves $75.50
8x + 5.5y = 75.50
To solve this problem, we need to set up an equation that represents the situation. Let's assume that Sally purchased x adult tickets and y children's tickets.
The cost of each adult ticket is $8.00, so the total cost of the adult tickets can be represented as 8x.
Similarly, the cost of each children's ticket is $5.50, so the total cost of the children's tickets can be represented as 5.50y.
According to the problem, the total amount Sally paid for all the tickets is $75.50. So, we can set up the equation:
8x + 5.50y = 75.50
Therefore, the equation that represents this situation is:
D) 8x + 5.5y = 75.50