Cassidy is selling tickets for a high school play. Child tickets cost \( \$ 7 \) and adult tickets cost \( \$ 11 \). She sells 180 tickets and collects \( \$ 1580 \). Setup a system of equations using \( C \) for number of child tickets and \( A \) for number of adult tickets to find the number of each ticket sold. We will not solve the system at this time Your 1st equation: Your 2nd equation:

To set up a system of equations based on the information provided, we can define the variables as follows: - Let \( C \) be the number of child tickets sold. - Let \( A \) be the number of adult tickets sold. From the problem, we have two key pieces of information: 1. The total number of tickets sold is 180. 2. The total amount of money collected from the ticket sales is $1580. Using this information, we can create the following equations: 1. The first equation represents the total number of tickets sold: \[ C + A = 180 \] 2. The second equation represents the total revenue from the ticket sales: \[ 7C + 11A = 1580 \] So, the system of equations is: \[ \begin{align*} 1. & \quad C + A = 180 \\ 2. & \quad 7C + 11A = 1580 \end{align*} \]