You are choosing between two health clubs. Club A offers membership for a fee of $40 plus a monthly fee of $25. Club B offers membership for a fee of $15 plus a monthly fee of $30. After how many months will the total cost at each health club be the same?

1 Answer
Mar 30, 2017

x=5, so after five months the costs would equal each other.

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=25x+40 and Club B's is y=30x+15.

Because we know that the prices, y, would be equal, we can set the two equations equal to each other.

25x+40=30x+15. We can now solve for x by isolating the variable.

25x+25=30x.

25=5x.

5=x

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