John and Caleb want to make the high school basketball gym, so they are going to join a gym over the summer. John decided to go to Planet Fi

Question

John and Caleb want to make the high school basketball gym, so they are going to join a gym over the summer. John decided to go to Planet Fitness, which costs $30 to join, and $5 per visit. Caleb decided to go to Club4Fitness, which just charges $8 per visit. After how many visits have John and Caleb spent the same amount of money, and how much money did they spend?

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Thành Đạt 5 years 2021-08-07T08:47:33+00:00 1 Answers 16 views 0

Answers ( )

  1. quangkhai
    0
    2021-08-07T08:49:00+00:00
    Reply

    Answer:

    10 visits

    Step-by-step explanation:

    John and Caleb want to make the high school basketball gym, so they are going to join a gym over the summer.

    Let the number of visits be represented as: x

    For John

    John decided to go to Planet Fitness, which costs $30 to join, and $5 per visit.

    The equation = $30 + $5 × x

    = 30 + 5x

    For Caleb

    Caleb decided to go to Club4Fitness, which just charges $8 per visit.

    The Equation = $8 × x

    = 8x

    We equate both equations to each other

    30 + 5x = 8x

    Collect like terms

    30 = 8x – 5x

    30 = 3x

    x = 30/3

    x = 10

    Therefore, John and Caleb would spent the same amount of money after 10 visits.

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