Answer:
6
Step-by-step explanation:
Given that:
One time membership fee = $24
Cost for each drum lesson at the youth club for members = $8
For non-members,
Cost for each drum lesson = $12
To find:
Number of drum lessons such that the cost for a member and a non-members is same.
Solution:
Let the number of drum lessons = [tex]x[/tex]
Cost for drum lessons for the members = Number of drum lessons [tex]\times[/tex] Cost for one drum lesson
Cost for drum lessons for the members = $[tex]8x[/tex]
Total cost for members = $24 + $[tex]8x[/tex]
Total cost for the drum lessons for the non-members = $12[tex]x[/tex]
As per question statement, both the expressions are equal:
[tex]24+8x = 12x\\\Rightarrow 12x-8x=24\\\Rightarrow 4x =24\\\Rightarrow x = 6[/tex]
For 6 number of lessons, cost for both will be same.