Question

The drama club at Del Rosa Middle School is having a production.

Answer 1

Answer:

320 Student Tickets

180 Adult Tickets

Step-by-step explanation:

You can solve this problem by using system of equations. First, we need to figure out our equations.

Equation 1: x as students and y as adults

$x+y=500$

We get this equation because the total tickets sold was 500. The x represents the students sold to students, and the y represents the tickets sold to adults.

Equation 2:

$3x+5y=1850$

We get this equation based on the prices. Each student ticket costs $3, and each adult ticket costs $5. The total amount earned was $1850.

Now that we have out equations, we can use system of equations to find our students and adults.

$x+y=500$

$3x+5y=1860$

Typically elimination is the easiest strategy because you are able to cross out variables.

$3(x+y=500)$

$3x+5y=1860$

Becomes:

$3x+3y=1500$

$3x+5y=1860$

We see that both equations now have 3x. We can cancel out 3x.

$-2y=-360$

$y=180$

Now that we know y=180, we can plug it back into one of our equations to find x.

$x+180=500$

$x=320$

320 student tickets and 180 adult tickets were sold.