At a local fitness center, members pay an $8 membership fee and $4 for each aerobic class. Nonmembers pay $6 for each aerobic class. For what number of aerobics classes will the cost for members and nonmember be the same?

Question

Tyrone Pham

Mathematics

10 January, 20:31

At a local fitness center, members pay an $8 membership fee and $4 for each aerobic class. Nonmembers pay $6 for each aerobic class. For what number of aerobics classes will the cost for members and nonmember be the same?

+4

Answers (2)

Know the Answer?

Avery Hamilton · Answer 1

After 4 classes the cost would be the same ($24)

Rodrigo Terry · Answer 2

An aerobic lesson will be defined as 'a'

For every member lesson, they pay $4, so they will be represented as 4a

For every non member lesson, they pay $6, so they are 6a

Don't forget members have to pay $8 at the start, so they have to be 4a + 8

So

4a + 8 = 6a is our final equation

Move the 'a's to one side, by subtracting 4a from each side, giving you

8 = 2a

Divide by 2 to isolate a

4 = a

After 4 aerobics classes, the cost will be the same