Ask Question
21 September, 00:14

You are choosing between two health clubs. Club A offers membership for a fee of $ 28$28 plus a monthly fee of $ 20.$20. Club B offers membership for a fee of $ 19$19 plus a monthly fee of $ 23.$23. After how many months will the total cost of each health club be the same? What will be the total cost for each club?

+5
Answers (1)
  1. 21 September, 00:33
    0
    That is to say that at 3 months, the values of the club are equal.

    Club A = 268 dollars in total

    Club B = 295 dollars in total

    Step-by-step explanation:

    The first thing is to propose an equation for each club. Let m be the number of months.

    Club A = 28 + 20 * m

    Club B = 19 + 23 * m

    Now, to know when it is the same, we must equal the value of Club A with Club B, it would look like this

    28 + 20 * m = 19 + 23 * m

    By rearranging the equation we have:

    23 * m - 20 * m = 28-19

    3 * m = 9

    m = 3

    That is to say that at 3 months, the values of the club are equal.

    Now to know the total value, we will do it with an annual membership, which would be a total of 12 months, therefore it is to replace in the equation of each one:

    Club A = 28 + 20 * 12 = 268 dollars in total

    Club B = 19 + 23 * 12 = 295 dollars in total
Know the Answer?
Not Sure About the Answer?
Find an answer to your question ✅ “You are choosing between two health clubs. Club A offers membership for a fee of $ 28$28 plus a monthly fee of $ 20.$20. Club B offers ...” in 📘 Mathematics if you're in doubt about the correctness of the answers or there's no answer, then try to use the smart search and find answers to the similar questions.
Search for Other Answers