The value that could replace c in the table is 440 – a.
Let x be the number of student tickets sold and y be the number of adult tickets sold. We know the following:
x + y = 67 (total number of tickets sold)
5x + 10y = 440 (total revenue from ticket sales)
We can solve for x and y using the following system of equations:
x + y = 67
5x + 10y = 440
Multiplying the first equation by -5, we get:
-5x - 5y = -335
Adding this equation to the second equation, we get:
5y = 105
y = 21
Substituting this value of y into the first equation, we get:
x + 21 = 67
x = 46
Therefore, there were 46 student tickets sold and 21 adult tickets sold.
The total revenue from student ticket sales is 5x = 5 * 46 = $230.
The total revenue from adult ticket sales is 10y = 10 * 21 = $210.
The total revenue from all ticket sales is $230 + $210 = $440.
Therefore, the value that could replace c in the table is 440 – a, where a is the number of adult tickets sold.
Answer: D
Question
Tickets to a school production cost $5 for a student ticket and $10 for an adult ticket. A total of 67 tickets were purchased at a cost of $440.
Which value could replace c in the table?
A. 67
B. 440
C. 67 – a
D. 440 – a