Answer:
They sold 30 adult tickets and 50 kids tickets.
Step-by-step explanation:
This question is solved by a system of equations.
I am going to say that:
x is the number of adult tickets sold
y is the number of kids tickets sold.
80 tickets are sold
This means that [tex]x + y = 80[/tex], or also, [tex]x = 80 - y[/tex]
For a Saturday matinee, adult tickets cost $7.50 and kids under 12 pay only $6.00. Tickets were sold for a total of $525.
This means that:
[tex]7.5x + 6y = 525[/tex]
Since [tex]x = 80 - y[/tex]
[tex]7.5(80 - y) + 6y = 525[/tex]
[tex]600 - 7.5y + 6y = 525[/tex]
[tex]1.5y = 75[/tex]
[tex]y = \frac{75}{1.5} = 50[/tex]
[tex]x = 80 - y = 80 - 50 = 30[/tex]
They sold 30 adult tickets and 50 kids tickets.
