For this case we have:
x: Variable representing the types of advance input
y: Variable representing the same-day entry types
We have according to the cost:
[tex]35x + 15y=1300[/tex]
According to the number of tickets:
[tex]x + y = 60[/tex]
We have a system of two equations with two unknowns:
[tex]35x + 15y = 1300\\x + y = 60[/tex]
We multiply the second equation by -35:
[tex]35x + 15y = 1300\\-35x-35y = -2100[/tex]
We add:
[tex]-20y = -800\\y = \frac {800} {20}\\y = 40.[/tex]
Thus, 40 same-day tickets were sold.
[tex]x + 40 = 60\\x = 60-40\\x = 20[/tex]
20 advance tickets were sold
Answer:
20 advance
40 same-day
