Question

The sophomore class sold a total of 700 adult and student tickets to the school play. Adult tickets sold $4.50 each, and student tickets cost $2.00 each. If they took in a total of $1,200, which system of equations can be used to find x, the number of student tickets sold, and y, the number of adult tickets sold?

Answer 1

We can create the following system of equations:

$x+y=700$ ($x$ is the number of student tickets sold and $y$ is the number of adult tickets sold)

$2x+4.50y=1200$ ($2x$ is the cost of all student tickets sold, and $4.50y$ is the cost of all adult tickets sold)

Therefore, the system of equations that can be used to find $x$ and $y$ is:

$\begin{cases} x+y=700 \\ 2x+4.50y=1200 \end{cases}$