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You are choosing between two health clubs. Club A offers membership for a fee of $ 18 plus a monthly fee of $ 12.  Club B offers membership for a fee of $ 16 plus a monthly fee of $ 13.  After how many months will the total cost of each health club be the​ same? What will be the total cost for each​ club?

Respuesta :

joseaaronlara

Answer:

The answer to your question is a) 2 months; b) $42.

Step-by-step explanation:

Data

Club A                           Club B

membership = $18        membership = $16

fee  = $12                       fee = $13

Total cost = y

months = x

Process

1.- Write equations to solve this problem

Club A       y = $12x + 18

Club B       y = $13x + 16

2.- Solve the system of equations by equality

                 12x + 18 = 13x + 16

                 12x - 13x = 16 - 18

                          - x = -2

                            x = 2

3.- Conclusion

After 2 months, the cost of both clubs will be the same.

4.- Total cost

Club A           y = 12(2) + 18

                     y = 24 + 18

                     y = $ 42          

Club B           y = $13(2) + 16

                     y = 26 + 16

                     y = $42

The total cost will be $42.