Question

A radio station had 276 tickets to a concert. They gave away 5 times as many tickets to listeners as to employees. How many tickets did they give away to employees?

a) 6
b) 5
c) 46
d) 51

Answer 1

The radio station gave away 46 tickets to employees. This was determined by setting up an equation where the employees received 'x' amount of tickets and listeners received 5 times that amount, which added up to the 276 tickets available.

Step-by-step explanation:

To determine how many tickets the radio station gave away to employees, we can set up an algebraic equation. Let the number of tickets given to employees be 'x'. Since the station gave away 5 times as many tickets to listeners as to employees, we know that 5x tickets were given to listeners. The total tickets given away are the sum of the tickets given to listeners and employees, which equals the 276 tickets available.

Now, we can set up the following equation:

x + 5x = 276

Solving for 'x', we combine like terms to get:

6x = 276

Divide both sides by 6 to find the value of 'x':

x = 276 / 6

x = 46

So, the radio station gave away 46 tickets to employees.