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Math Help - Ratio Word Problem Help!!

  1. #1
    Junior Member casey_k's Avatar
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    Exclamation Ratio Word Problem Help!!

    The ratio of rooms in a hotel that are occupied to unoccupied are in the
    ratio 6:5. The next morning, people check out of 230 of the rooms. Nobody
    checks in. The ratio of occupied rooms to unoccupied rooms is now 4:5. Use
    this information to figure out how many rooms there are in the hotel in all.
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  2. #2
    MHF Contributor
    skeeter's Avatar
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    Quote Originally Posted by casey_k View Post
    The ratio of rooms in a hotel that are occupied to unoccupied are in the
    ratio 6:5. The next morning, people check out of 230 of the rooms. Nobody
    checks in. The ratio of occupied rooms to unoccupied rooms is now 4:5. Use
    this information to figure out how many rooms there are in the hotel in all.
    v = number occupied

    u = number unoccupied


    \frac{v}{u} = \frac{6}{5}

    5v = 6u


    \frac{v-230}{u+230} = \frac{4}{5}

    5v-1150 = 4u+920

    6u-1150 = 4u+920

    2u = 2070

    u = 1035

    finish up and find v
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  3. #3
    Junior Member casey_k's Avatar
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    Thank you!
    I got 2277 for the answer
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