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Your goal is to exercise for 15 hours this month. You exercise for [tex]3\frac{1}{2}[/tex] hours the first week and [tex]3\frac{3}{4}[/tex] hours the next week. How many more hours do you need to exercise to reach your goal?

Answer :

Final answer:

To reach the goal of exercising for 15 hours, subtract the total hours exercised in the first two weeks from this goal.

Explanation:

To find out how many more hours the student needs to exercise to reach their goal, we need to calculate the total number of hours they exercised in the first two weeks and subtract it from their goal of 15 hours.

  1. In the first week, the student exercised for 3(1)/(2) hours.
  2. In the second week, the student exercised for 3(3)/(4) hours.
  3. The total number of hours exercised in the first two weeks is 3(1)/(2) + 3(3)/(4) = 7(1)/(4) hours.
  4. To find out how many more hours the student needs to exercise, we subtract the total hours exercised from the goal of 15 hours: 15 - 7(1)/(4) = 7(3)/(4) hours.

Therefore, the student needs to exercise for an additional 7(3)/(4) hours to reach their goal of 15 hours.

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