Question

Bennett has been practicing the cello for an hour each day. 3/4of the hour, he spends practicing musical pieces in preparation for his upcoming orchestra concert. He spends the other 1/4of the hour practicing scales. If he spends 2/5of his practice time on musical pieces playing one of the orchestra pieces, Excerpts from Pirates of the Caribbean, how much of the hour does he spend playing that music?

Answer 1

`Orchestral\ Time = (3)/(10)\ hour`

Explanation:

Given

`Time = 1\ hour`

`Musical\ Pieces = (3)/(4)\ hour`

`Practicing\ Sales = (1)/(4)\ hour`

Orchestral =
`(2)/(5)` of music practice time

Required

Determine time spent on orchestral pieces

From the given parameters, we have:

Orchestral =
`(2)/(5)` of music practice time

Substitute
`(3)/(4)\ hour` for music practice time.

So, we have:

`Orchestral\ Time = (2)/(5) * (3)/(4)\ hour`

`Orchestral\ Time = (1)/(5) * (3)/(2)\ hour`

`Orchestral\ Time = (3)/(10)\ hour`