The number of listeners is given from the total number of listeners and
the ratio of the listeners between the two stations.
Required:
Given:
The daily listening audience of the AM station = 4 × The audience of the FM sister station
The number of people that listen to the two stations = 105,000
Required:
The number of listeners of the FM station
Solution:
The ratio of the listeners is 1:4
Let x represent the number of listeners of the FM sister station, we have;
The number of listeners of AM radio station = 4·x
Which gives;
4·x + x = 105,000
5·x = 105,000
[tex]x = \dfrac{105,000}{5} = \mathbf{21,000}[/tex]
The number of listeners of he radio station = 21,000 × 4 = 84,000
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