Question

Veronica is choosing between two health clubs. Studio A has membership is $23.00 and a monthly fee $24.75. Studio B has a membership fee of $53 and a monthly fee $17.25. After how many months will the total cost for each health club be same?

Answer 1

14.02

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 = 24x + 21.50 and Club B's is y = 17.25 x + 41.00 Because we know that the prices, y , would be equal, we can set the two equations equal to each other.

24x + 21.50 =17.25 x+ 41.00

subtract 21.50 both sides

. We can now solve for x by isolating the variable.

24x=17.25x+19.5

divide 17.25x

1.39x=19.5

divide 1.39 both sides

x=14.02

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