A radio station has 170 tickets to a concert. They gave away 4 times as many tickets to listeners as to employees?
A radio station had 126 tickets to a concert. They gave away 2 times as many tickets to listeners as to employees. How many tickets did they give away to employees?
To find out how many tickets were given away to employees, we need to divide the total number of tickets by the sum of the ratio (4+1) representing the number of tickets given away to listeners and employees.
Let's assume the number of tickets given away to employees is x.
Since the ratio of tickets given away to listeners to tickets given away to employees is 4:1, the number of tickets given to listeners can be expressed as 4x.
So, the total number of tickets given away can be represented by the equation: x + 4x = 170.
Combining like terms, we have 5x = 170.
To solve for x, divide both sides of the equation by 5:
5x/5 = 170/5,
x = 34.
Therefore, the radio station gave away 34 tickets to employees and 4 times as many, or 136 tickets, to listeners.