You are choosing between two health clubs. Club A offers membership for a fee of $ 11 plus a monthly fee of $ 23. Club B offers membership for a fee of $ 26 plus a monthly fee of $ 18. 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's denote the number of months as $m$.
Total cost for Club A = $11 + $23m
Total cost for Club B = $26 + $18m
Setting the two total costs equal to each other:
$11 + $23m = $26 + $18m
$5m = $15
m = 3
After 3 months, the total cost for both health clubs will be the same at $74.
Total cost for Club A after 3 months = $11 + $23 x 3 = $80
Total cost for Club B after 3 months = $26 + $18 x 3 = $80