You are choosing between two health clubs. Club A offers membership for a fee of $ 23 plus a monthly fee of $ 24. Club B offers membership for a fee of $ 21 plus a monthly fee of $ 25. After how many months will the total cost of each health club be the same? What will be the total cost for each club?
To find out when the total cost for both health clubs will be the same, we need to set up an equation and solve for the number of months.
Let x be the number of months.
For Club A:
Total cost = $23 + $24x
For Club B:
Total cost = $21 + $25x
Setting the two equations equal to each other:
$23 + $24x = $21 + $25x
Subtract $21 from both sides:
$2 + $24x = $25x
Subtract $24x from both sides:
$2 = $x
Therefore, the total cost for each club will be the same after 2 months.
Total cost for Club A after 2 months: $23 + ($24 * 2) = $23 + $48 = $71
Total cost for Club B after 2 months: $21 + ($25 * 2) = $21 + $50 = $71