Health Club Fees  You are choosing between two health clubs. Club A offers membership for a fee of $ 7 plus a monthly fee of $ 24. Club B offers membership for a fee of $ 28 plus a monthly fee of $ 17. After how many months will the total cost of each health club be the​ same?

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Question:

Health Club Fees  You are choosing between two health clubs. Club A offers membership for a fee of $ 7 plus a monthly fee of $ 24. Club B offers membership for a fee of $ 28 plus a monthly fee of $ 17. After how many months will the total cost of each health club be the​ same?

Answers

The total cost of each health club will be the​ same after the 3 months.Step-by-step explanation:There are two health clubs A and B.To find the total fee of club A :Total fee of club A = membership fee of A + monthly fee of A⇒ $7 + $24To find the total fee of club B :Total fee of club B = membership fee of B + monthly fee of B⇒ $28 + $17To find the total cost of each health club be the​ same :Let us assume,The number of months at which the cost of both clubs A and B is same is 'x'.Total cost of club A for x months = Total cost of club B for x months⇒ 7 + 24x = 28 + 17x⇒ 24x - 17x = 28-7⇒ 7x = 21⇒ x = 21/7⇒ x = 3 monthsAfter 3 months the total cost of each health club will be the​ same.

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