Question

Club A offers membership for a fee of $ 23 plus a monthly fee of $ 29. Club B offers membership for a fee of $ 27 plus a monthly fee of $ 27. After how many months will the total cost of each health club be the​ same? What will be the total cost for each​ club?

Answer 1

The total cost will be the same after 0.5 months.

The total cost for each club will be $40.5.

Step-by-step explanation:

let x be the number of months

let y be the total cost

For club A: y = $23x + $29

For club B: y = $27x + $27

the total cost will be equal after:

$23x + $29 = $27x + $27

$27 - $23 = $29 - $27

$4x = $2

x = 0.5 months

Therefore, the total cost will be the same after 0.5 months.

the total cost will be = $23(0.5) + $29 = $40.5

Therefore, the total cost for each club will be $40.5.