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there are six minutes of commercials for every 24 minutes of television. How many minutes of commercials are there in one hour and 36 minutes of television?

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Marleyelizabeth

Weeeeellllll .... 96 mins/24 means that there are 4 full sections and for every section there is 6 minutes of commercials. So 6x4 means that there would be 24 minutes of commercials!!

carlosego

For this case, the first thing we must do is define variables.

We have then:

x: minutes of television

y: minutes of commercials

We now write the linear equation that models the problem.

We have then:

\(y = (\frac{6}{24}) x
\)

We consider the following conversion:

1 hour = 60 minutes.

Thus,

one hour and 36 minutes = 60 + 36 = 96 minutes

Substituting x = 96 in the given equation we have:

\(y = (\frac{6}{24}) * (96)

y = 24
\)

Answer:

There are 24 minutes of commercials in one hour and 36 minutes of television

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