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. school production attendance breakdown: | | tickets sold | cost | total | |---|---|---|---| | students | c | 5 | 5c | | adults | a | 10 | 10a | | total | | | | which value or expression could replace c in the table? options: 67 - a, 440, 67, 440 - a

Explanation:

Step1: Understand the total tickets

We know that the total number of tickets sold (student tickets + adult tickets) is 67. Let \( c \) be the number of student tickets and \( a \) be the number of adult tickets. So, the equation for the total number of tickets is \( c + a = 67 \).

Step2: Solve for \( c \)

To find \( c \) in terms of \( a \), we can rearrange the equation \( c + a = 67 \) by subtracting \( a \) from both sides. This gives us \( c = 67 - a \).

Answer:

\( 67 - a \) (corresponding to the option "67 − a")