Question

Form an equation and solve it to answer the question. The daily listening audience of an AM radio station is six times as large as that of its FM sister station. If 182,000 people listen to these two radio stations, how many listeners does the FM station have? listeners

Answer 1

The number of listens for FM sister station  = 26,000

The number of listens for AM radio station    = 156,000

Step-by-step explanation:

The total number of listeners of both station combined   =  182,000

Let us assume the number of listens for FM sister station  = M

So,  the number of listens for AM radio station  

= 6 x ( number of listens for FM sister station )   = 6  M

Now,as given,

The number of listener for (AM radio station +   FM sister station )  = 182,000

⇒6  M  + M  = 182,000

or, 7 M =  182,000

or, $M = \frac{182,000}{7} = 26,000$

⇒ M = 26,000

Hence,  the number of listens for FM sister station  = M  = 26,000

The number of listens for AM radio station  

= 6 M  = 6 x(26,000)  = 156,000