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18 February, 16:18

Two arcades have different pricing structures. Arcade A costs $5 to enter and $0.60 per game. Arcade B costs $7 to enter and $0.40 per game. How many games do you have to play in order for the two arcades to be the same price?

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Answers (2)
  1. 18 February, 16:28
    0
    10 games

    Step-by-step explanation:

    Let C be cost and x be number of games

    Arcade A: C = 5 + 0.6x

    Arcade B: C = 7 + 0.4x

    for both arcades to be the same price, Both C's must be equal, hence we equate the right side of both equations:

    5 + 0.6x = 7 + 0.4x (subtract 5 fromboth sides)

    0.6x = 7 + 0.4x - 5

    0.6x = 2 + 0.4x (subtract 0.4x from both sides)

    0.6x - 0.4x = 2

    0.2x = 2 (divide both sides by 0.2)

    x = 2 / (0.2)

    x = 10
  2. 18 February, 18:24
    0
    you would have to play 10 games
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