Question

You are choosing between two health clubs. Club A offers membership fee of $16 plus a monthly fee of $23. Club B offers membership for a fee of $20 plus a monthly fee of $21. After how many months will the total cost of each health club be the same? What will be the total cost for each club?

Answer 1

After five months, the total cost would be the same.

Explanation:

You'd have to write equations for the price per month for each club.

Let

x

equal the number of months of membership, and

y

equal the total cost.

Club A's is

y

=

25

x

+

40

and Club B's is

y

=

30

x

+

15

.

Because we know that the prices,

y

, would be equal, we can set the two equations equal to each other.

25

x

+

40

=

30

x

+

15

. We can now solve for

x

by isolating the variable.

25

x

+

25

=

30

x

.

25

=

5

x

.

5

=

x

After five months, the total cost would be the same.