Question

Membership to a music club costs $75. Members pay $10 per music lesson, and nonmembers pay $15 per music lesson. How many music lessons would you have to take for the cost to be the same for members and nonmembers?

a) 5 lessons
b) 7 lessons
c) 8 lessons
d) 10 lessons

Answer 1

After setting up an equation to compare the cost for members and nonmembers, it was found that 15 lessons are needed for the costs to be the same. The options provided in the question did not include the correct answer, suggesting there may be an error in the given choices or the assumptions.

Step-by-step explanation:

To determine how many music lessons you would have to take for the cost to be the same for both members and nonmembers, let's set up an equation. For members, the cost is the initial membership fee plus the cost per lesson times the number of lessons. For nonmembers, it is simply the cost per lesson times the number of lessons. We'll call the number of lessons 'x'.

For members: $75 + $10x

For nonmembers: $15x

Setting these two expressions equal gives us the equation:

$75 + $10x = $15x

Subtracting $10x from both sides:

$75 = $5x

Dividing both sides by $5, we find:

x = 15

Therefore, you would have to take 15 lessons for the cost to be the same for both members and nonmembers. This was not one of the options provided, therefore there might be an error in the options or the assumptions of the question.