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18 February, 05:59

Lucy needs to hire a host. Host A is offering his services for an initial $60 in addition to $13.25 per hour. Hostess B is offering her services for an initial $75 in addition to $11.50 per hour. When will the two hosts charge the same amount?

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  1. 18 February, 06:17
    0
    8.57 hours

    Step-by-step explanation:

    The cost of each host can be expressed as follows:

    Host A: 60+13.25x

    Host B: 75+11.50x

    x is the number of hours

    To find when the two host will charge the same amount you have to equate the expressions and solve for x:

    60+13.25x = 75+11.50x

    13.25x-11.50x = 75-60

    1.75x = 15

    x=15/1.75

    x=8.57

    The two hosts charge the same amount after 8.57 hours
  2. 18 February, 06:22
    0
    Host A: 60+13.25h

    Host B: 75+11.5h

    60+13.25h = 75+11.25h

    subtract 11.25h from each side

    60+2h = 75

    subtract 60 from each side

    2h = 15

    divide by 2

    h = 7.5

    at 7.5 hours the two hosts will charge the same
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