Question

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?

Answer 1

Answer:

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