You are choosing between two health clubs. club a offers membership for a fee of $ 14 $14 plus a monthly fee of $ 15. $15.  club b offers membership for a fee of $ 18 $18 plus a monthly fee of $ 14. $14.  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 4 months total cost of each health club would be the same that is $74.

Step-by-step explanation:

Let x represent number of months.

We have been given that Club A offers membership for a fee of $14 plus a monthly fee of $15.

The total cost of using Club A for x months would be .

We have been given that Club B offers membership for a fee of $18 plus a monthly fee of $14.

The total cost of using Club B for x months would be .

Let us equate both equations to find number of months, when both health clubs cost would be same.

Therefore, after 4 months the total cost of each health club would be the same.

The total cost of using Club A:

The total cost of using Club B:

Therefore, the total cost for each club would be $74.