Question

Your friends piano lesson lasts 15 minutes longer than your piano lesson. You have 6 lessons per month and your friend has 4 lessons per month. At the end of the month, your time spent at piano lessons is the same as your friends time. How may minutes is your friends piano lesson

Answer 1

45 minutes

Explanation:

Given:

Your friends piano lesson lasts 15 minutes longer than your piano lesson.

You have 6 lessons per month and your friend has 4 lessons per month.

At the end of the month, your time spent at piano lessons is the same as your friends time.

Question asked:

How may minutes is your friends piano lesson ?

Solution:

Let your piano lesson in minutes =
`x`

Then your friend's piano lesson will be =
`x+15`

As you have 6 lessons per month, it contains total minutes:-

1 lesson =
`x\ minutes`

6 lessons =
`x*6=6x\ minutes`

As your friend has 4 lessons, it contains total minutes:-

1 lesson =
`x+15\ minutes`

4 lessons =
`4(x+15)=4x+60\ minutes`

At the end of the month, time spent at piano is same:-

`6x=4x+60\\ \\ Subtracting\ both\ sides\ by\ 4x\\ \\ 6x-4x=4x-4x+60\\ \\ 2x=60\\ \\ Dividing\ both\ sides\ by\ 2\\ \\ (2x)/(2) =(60)/(2) \\ \\ x=30\ minutes`

Your piano lesson in minutes =
`x` = 30 minutes.

Your friend's piano lesson will be =
`x+15` = 30 + 15 = 45 minutes

Therefore, 45 minutes is your friends piano lesson.