You are choosing between two health clubs

Question

You are choosing between two health clubs.  Club A offers membership for a fee of $75 plus a fee of $20. Club B offers a membership at a fee of $135 plus a monthly fee of $10. After how many months will the total cost at each health club be the same?

Answer 1

The total fee for a club is the flat fee plus the monthly fees.  Let x be the number of months.  Then, the total fee for Club A is 75 + 20x.

 

What we need to do is set the total fees for each club equal to one another and then solve for x. 

 

75 + 20x = 135 +10x

10x = 60

x = 6