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IRINA_888 [86]
3 years ago
10

A radio station dedicates 20% of their air time to commercials for each radio show. During a radio show, 30 minutes of commercia

ls played. How long was the radio show?
Mathematics
1 answer:
stiks02 [169]3 years ago
4 0

Answer:

150 minutes (2.5 hours)

Step-by-step explanation:

We must consider that the total time that the radio program lasted  represents the 100%.

Of that 100% we are told that 20% is dedicated to commercials. So the 30 minutes of commercials correspond to 20% of the air time, which can be represented in the following table:

Percentage of time             time

        20%                       ⇒     30min

and we are looking for how long the show was on the air (the 100%).

So updating the table( I will call x the total time on the air):

Percentage of time             time

        20%                       ⇒     30min

        100%                       ⇒     x

This reationship between three values can be solve by the<u> rule of three</u>: multiply the cross quantities on the table (100 by 30) and divide by the remaining amount (20):

x = 100*30 / 20

x= 3000 / 20

x = 150 minutes

The radio show was 150 minutes (2.5 hours) long.

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