You are choosing between two health clubs. Club A offers membership for a fee of $16 plus a monthly fee of $13. Club B offers membership for a fee of $22 plus a monthly fee of $11. After how many months will the total cost of each health club be the same? What will be the total cost for each club?

After 3 months the total cost of each health club will be the same, and the total cost for each one will be US$ 55

Step-by-step explanation:

1. Let's review the information provided to us to answer the question correctly:

Club A = Membership fee of $ 16 + Monthly fee of $13

Club B = Membership fee of $ 22 + Monthly fee of $11

2. After how many months will the total cost of each health club be the same? What will be the total cost for each club?

For answering the question, we will use the variable x to be the number of months of membership of the two clubs, this way:

Club A = Club B

16 + 13x = 22 + 11x

13x - 11x = 22 - 16

2x = 6

x = 6/2 = 3

Substituting and proving x = 3:

16 + 13x = 22 + 11x

16 + 13 * 3 = 22 + 11 * 3

16 + 39 = 22 + 33

55 = 55

After 3 months the total cost of each health club will be the same, and the total cost for each one will be US$ 55