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Juliene practiced her dance routine for twice as many
minutes on Monday as she did on Tuesday. She
practiced her routine those two days for a total of
2 hours and 15 minutes. For how many minutes did
Juliene practice her dance routine on Monday?
( SHOW YOUR WORK )

Respuesta :

Answer:

  90 minutes

Step-by-step explanation:

Let m represent the number of minutes Juliene practiced on Monday. Then her total for the two days is ...

  m + x/2 = 135 . . . . minutes

  3/2m = 135 . . . . . . collect terms

  m = (2/3)(135) = 90 . . . . minutes

Juliene practiced for 90 minutes on Monday.

Juliene practiced her dance routine on Monday for 90 minutes.

  • Number of minutes practice on Tuesday = m
  • Number of minutes practiced on Monday = 2m
  • Total number of minutes = 2 hours 15 minutes = (2 × 60) + 15 = 135 minutes

Therefore,

m + 2m = 135

3m = 135

Divide both side by 3

3m/3 = 135/3

m = 45

  • Therefore, 2m = 2 × 45 = 90

In conclusion, Juliene practiced her dance routine on Monday for 90 minutes.

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