You are choosing between two health clubs. Club A offers membership for a fee of $25 plus a monthly fee of $29. Club B offers membership for a fee of $17 plus a monthly fee of $31. After how many months will the total cost of each health club be the same? What will be the total cost for each club?
Let x be the number of months.
For Club A, the total cost is given by: C_A = $25 + $29x
For Club B, the total cost is given by: C_B = $17 + $31x
Setting the total costs equal to each other and solving for x, we get:
$25 + $29x = $17 + $31x
$25 - $17 = $31x - $29x
$8 = 2x
x = 4
After 4 months, the total cost for both health clubs will be the same.
Substitute x=4 back into the equations to find the total cost:
For Club A: C_A = $25 + $29(4) = $25 + $116 = $141
For Club B: C_B = $17 + $31(4) = $17 + $124 = $141
Therefore, the total cost for each health club after 4 months will be $141.