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21 July, 05:36

The Tucker Gym charges a one time fee of $50 plus a $25 monthly membership

charge.

THe NoFo Health Club charges a one time fee of $80 plus a $15 monthly

membership fee.

Represent the situation as a system of two equations in two variables.

Solve the equation algebraically using substitution or elimination.

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Answers (1)
  1. 21 July, 08:48
    0
    y = 50 + 25x ... (i)

    y = 80 + 15x ... (ii)

    x = 3

    y = 125

    Step-by-step explanation:

    The tucker Gym charges a one time fee of $50 plus a $25 monthly membership charge.

    The NoFo health club charges a one time fee of $80 plus a $15 monthly membership fee.

    Let

    number of month = x

    total cost = y

    Tucker Gym

    y = 50 + 25x ... (i)

    NoFo Gym

    y = 80 + 15x ... (ii)

    combining the equation

    y = 50 + 25x ... (i)

    y = 80 + 15x ... (ii)

    y - 50 = 25x

    y/25 - 2 = x

    insert x in equation (ii)

    y = 80 + 15 (y/25 - 2)

    y = 80 + 3y/5 - 30

    y = 50 + 3y/5

    y - 3y/5 = 50

    5y - 3y/5 = 50

    2y/5 = 50

    cross multiply

    2y = 250

    y = 250/2

    y = 125

    insert y in equation (i)

    125 = 50 + 25x

    125 - 50 = 25x

    75 = 25x

    x = 75/25

    x = 3
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