Answer:
$6 tickets: 16; $10 tickets: 45
Step-by-step explanation:
We need a system of equations to find the number of each type of ticket sold.
Thus, we have [tex]x+y=60[/tex], where x = the number of $6 tickets and y = the number of $10 tickets
We also have [tex]6x+10y=540[/tex]
We can use the elimination method to find y:
[tex]x+y=60\\6x+10y=540\\\\-6(x+y=60)\\\\-6x-6y=-360\\6x+10y=540\\\\(4y=180) / 4\\\\y=45\\\\(x+45=60)-45\\\\x=15[/tex]
