Final answer:
Melanie practices the violin for 45 minutes in 3 hours and for 1 hour and 15 minutes in 5 hours, based on the given ratio of practice to school work time.
Step-by-step explanation:
The question asks how much time Melanie practiced her violin in 3 hours and 5 hours given the ratio of minutes practicing violin to minutes doing her school work is 15:45. To solve this, we need to first understand the given ratio. The ratio 15:45 denotes that for every 15 minutes of violin practice, there are 45 minutes spent on school work, making a total of 60 minutes or 1 hour. Therefore, in 1 hour, Melanie practices her violin for 15 minutes.
To find out how much time she practices in 3 hours, we simply multiply the minutes she practices in one hour by 3:
- 15 minutes/hour × 3 hours = 45 minutes.
To find out the practice time for 5 hours, we do a similar calculation:
- 15 minutes/hour × 5 hours = 75 minutes, which is equivalent to 1 hour and 15 minutes.
Therefore, Melanie practices her violin for 45 minutes in 3 hours and for 1 hour and 15 minutes in 5 hours.