Question

You are choosing between two health clubs. Club A offers membership for a fee of $24 plus a monthly fee of $20Club B offers membership for a fee of $16 plus a monthly fee of $22. 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

the total cost for both clubs will be the same after 4 months, and the total cost will be $104 for each club.

Explanation:

Let's assume that the number of months for which the total cost is the same is "m".

For Club A, the total cost after "m" months is given by:

Total cost for Club A = $24 + $20m

For Club B, the total cost after "m" months is given by:

Total cost for Club B = $16 + $22m

To find out when the total cost for both clubs will be the same, we can set the two expressions equal to each other and solve for "m":

$24 + $20m = $16 + $22m

Simplifying this equation, we get:

$8 = $2m

m = 4

Therefore, the total cost for both clubs will be the same after 4 months.

To find the total cost for each club after 4 months, we can substitute "m = 4" in the expressions we derived earlier:

Total cost for Club A = $24 + $20 x 4 = $104

Total cost for Club B = $16 + $22 x 4 = $104

So, the total cost for both clubs will be the same after 4 months, and the total cost will be $104 for each club.