Question

Jackie runs and dances for a total of 55 minutes every day. She dances for 25 minutes longer than she runs.

Answer 1

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Answer:

  A: x + y = 55; y - x = 25

  B: 15 minutes running

  C: no

Step-by-step explanation:

Part A:

The two equations relate to the total number of minutes, and to the difference specified in the problem statement.

  x + y = 55 . . . . . . total time is 55 minutes

  y = x + 25 . . . . . . dances 25 minutes longer

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Part B:

We can substitute for y in the first equation to find the value of x, the time spent running.

  x + (x +25) = 55

  2x = 30 . . . . subtract 25

  x = 15 . . . . . . divide by 2

Jackie spends 15 minutes running each day.

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Part C:

The value of y from is found using the second equation:

  y = x +25 = 15 +25 = 40

Jackie will not spend 45 minutes dancing if she meets the requirements on times.