Respuesta :
Answer:
45 minutes
Step-by-step 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 = [tex]x[/tex]
Then your friend's piano lesson will be = [tex]x+15[/tex]
As you have 6 lessons per month, it contains total minutes:-
1 lesson = [tex]x\ minutes[/tex]
6 lessons = [tex]x\times6=6x\ minutes[/tex]
As your friend has 4 lessons, it contains total minutes:-
1 lesson = [tex]x+15\ minutes[/tex]
4 lessons = Â [tex]4(x+15)=4x+60\ minutes[/tex]
At the end of the month, time spent at piano is same:-
[tex]6x=4x+60\\ \\ Subtracting\ both\ sides\ by\ 4x\\ \\ 6x-4x=4x-4x+60\\ \\ 2x=60\\ \\ Dividing\ both\ sides\ by\ 2\\ \\ \frac{2x}{2} =\frac{60}{2} \\ \\ x=30\ minutes[/tex]
Your piano lesson in minutes = [tex]x[/tex] = 30 minutes.
Your friend's piano lesson will be = [tex]x+15[/tex] = 30 + 15 = 45 minutes
Therefore, 45 minutes is your friends piano lesson.
