Drum lessons at the youth club cost $8 each for members. There is a membership fee of $24. For non membership, each drum lessons cost $12. For what number of lessons is the cost the same for a member and non member

Respuesta :

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.

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