Jose practices the violin at least 12 hours per week. He practices for 3 fourths of an hour each session. If Jose had already practiced 3 hours in one week, how many sessions remain to meet or exceed his weekly practice goal ?

Answer 1

To find out how many sessions remain for Jose to meet or exceed his weekly practice goal, we can follow these steps:

1. Determine the total practice time needed for the week:
   Jose's goal is at least 12 hours of practice per week.

2. Convert hours to a more manageable unit (in this case, to hours):
   Since Jose already practiced 3 hours, we can subtract this from his goal: \[ 12 \text{ hours} - 3 \text{ hours} = 9 \text{ hours} \] Therefore, Jose needs to practice 9 more hours this week.

3. Convert the required remaining hours into practice sessions:
   Each session lasts \( \frac{3}{4} \) of an hour. To find out how many sessions are needed to make up for the 9 hours, we convert 9 hours into sessions: \[ \text{Number of sessions} = \frac{\text{Remaining hours}}{\text{Hours per session}} = \frac{9 \text{ hours}}{\frac{3}{4} \text{ hour/session}} \] When dividing by a fraction, we multiply by its reciprocal: \[ \text{Number of sessions} = 9 \times \frac{4}{3} = 12 \]

So, Jose has 12 sessions remaining to meet or exceed his weekly practice goal.