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Three commercials are played in a row between songs on the radio. The three commercials fill exactly 3

minutes of time.

1

If the first commercial uses 1- minutes, and the second uses

3

minute, how long is the third commercial?

5

Respuesta :

According to the information given, it is found that the third commercial was 1.233 minutes long.

How is the time divided?

  • The total time is of 3 minutes.
  • The first commercial uses [tex]\frac{1}\frac{1}{6} = \frac{1} + \frac{1}{6} = \frac{7}{6}[/tex] minutes.
  • The second commercial uses [tex]\frac{3}{5}[/tex] of a minute.
  • The third commercial uses x minutes.

The sum of the time used by the three commercials is 3, hence:

[tex]\frac{7}{6} + \frac{3}{5} + x = 3[/tex]

[tex]\frac{35 + 18 + 30x}{30} = 3[/tex]

[tex]53 + 30x = 90[/tex]

[tex]30x = 37[/tex]

[tex]x = \frac{37}{30}[/tex]

[tex]x = 1.233[/tex]

The third commercial was 1.233 minutes long.

A similar problem, in which the information given is used to build and solve an expression, is given at brainly.com/question/24812278

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