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26 February, 04:57

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?

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  1. 26 February, 06:31
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    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
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