10 pointsQuestion 7. Contestants in a dance-a-thon rest for the same amount oftime every hour.A couple rests for 25 minutes in 5 hours. How long didthey rest in 8 hours? Please do not include units in your answer. (Enter anumber ONLY.) *Your answer

Respuesta :

If the couples rest the same amount every hour, and you know that they rest for 25minutes in 5 hours, you can use cross multiplication to determine the amount of time they will rest in 8 hours:

5hours____25minutes

8hours____x minutes:

[tex]\frac{25}{5}=\frac{x}{8}[/tex]

This means that the rate of the resting time and the hours is the same. To determine how much x is, multiply 25/5 by 8

[tex]\begin{gathered} 8(\frac{25}{5})=x \\ x=40 \end{gathered}[/tex]

After 8 hours the couple will dance for 40 minutes.

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