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?

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

Step-by-step 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.

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