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Math Help - Solving this word problem

  1. #1
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    Solving this word problem

    The answer to this problem is 2 hours and 30 minutes, I'm just not sure how one would go about solving it.

    On Conner's cellphone it costs 6 cents/min for a phone call, and 3 cents/min to play a game. Conner can spend 18$ on the phone bill.

    A: Make an equation in standard form for the number of minutes that Connor can talk on the phone, t, and play games, g.

    B: How long can Connor talk on the phone, in hours, if he plays video games for 5 hours?
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  2. #2
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    Quote Originally Posted by cherrybaby View Post
    The answer to this problem is 2 hours and 30 minutes, I'm just not sure how one would go about solving it.

    On Conner's cellphone it costs 6 cents/min for a phone call, and 3 cents/min to play a game. Conner can spend 18$ on the phone bill.

    A: Make an equation in standard form for the number of minutes that Connor can talk on the phone, t, and play games, g.

    B: How long can Connor talk on the phone, in hours, if he plays video games for 5 hours?
    [A].

    If Conner used t minutes on talking on the phone, then at 6 cents/min, he spent t*6 = 6t cents.

    If he used g minutes on playing games on the phone, at 3 cents/min, he spent g*3 = 3g cents.

    He has $18 or 1800 cents to spend, so
    6t +3g = 1800 ---------------------------(1)

    -------------------------
    [B].

    If he plays for 5 hrs,
    5hrs *60min/hr = 5*60 = 300 minutes,
    then g = 300 min.
    Substitute that into (1),
    6t +3(300) = 1800
    6t = 1800 -900
    6t = 900
    t = 900/6 = 150 min

    150min *1hr/60min = 150/60 = 2.5 hrs or 2hrs and 30min.

    Therefore, Conner can talk for 2 hours and 30 minutes with the $18 he has.
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