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
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:
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.
Typically elimination is the easiest strategy because you are able to cross out variables.
Becomes:
We see that both equations now have 3x. We can cancel out 3x.
Now that we know y=180, we can plug it back into one of our equations to find x.
320 student tickets and 180 adult tickets were sold.