The radio station has 100 tickets to give away.
They gave 3 times as many tickets to the listeners as to the employees.
Let x represent the amount of tickets they gave to their employees, if the listeners received 3 times more then it can be expressed as 3x
And logically, both expressions have to add up to the total of tickets available, so:
[tex]3x+x=100[/tex]From this expression you can determine the value of x:
[tex]\begin{gathered} 3x+x=100 \\ 4x=100 \\ \frac{4x}{4}=\frac{100}{4} \\ x=25 \end{gathered}[/tex]They gave away 25 tickets to the empoyees.