Question

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?

Answer 1

After 4 months total cost of each health club would be the​ same that is $74.

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
`15x+14`.

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
`14x+18`.

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

`15x+14=14x+18`

`15x-14x+14=14x-14x+18`

`x+14=18`

`x+14-14=18-14`

`x=4`

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

The total cost of using Club A:
`15(4)+14=60+14=74`

The total cost of using Club B:
`14(4)+18=56+18=74`

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