Question

It costs $55 to be a member of a music club. A member of the club pay's $25 per lesson. Non member's pay $30 per lesson. How many lessons would each have to take so the cost for each is the same

Answer 1

The number of lessons the member and the non member would have to take so the cost for each to be the same = 11 lessons.

Explanation:

Here we have an optimization problem, therefore

Let the number of lessons the members have to take be X and the number of lessons the non members have to take be Y

We have; when Y = X then

55 + 25×Y = 30×Y

55 = 5×Y

Y = 11

The number of lessons the member and the non member would have to take so the cost for each to be the same = 11 lessons.