Answer:
100 adult tickets
150 students tickets
Step-by-step explanation:
First, construct an equation that relates the tickets.
For the first equation, 5x represents $5 per ticket for students and 8y represents $8 per ticket for adult, showing the money earned.
For the second equation, x represents student tickets and y represents adult tickets, showing the tickets sold.
[tex]5x+8y=1550\\x+y=250\\[/tex]
Then, you have to cancel out similar factors. I will multiply the second equation by -5 because that is the easiest option for this specific case.
[tex]-5(x+y=250)\\-5x-5y=-1250\\5x+8y=1550\\3y=300\\y=100[/tex]
We have solved for y, which is how many adult tickets were sold. To solve for student tickets, we will solve the second equation.
[tex]x+y=250\\x+100=250\\x=150[/tex]
As a result we have 100 adult tickets and 150 student tickets.
Hope this helps!! <3
