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?

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Answer 1 · 2017-03-30T11:40:01

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

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.