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QR: Math Destroyer, Test 9, Qsn 29

Discussion in 'DAT Discussions' started by ammarm, Aug 19, 2011.

  1. ammarm

    2+ Year Member

    Joined:
    Jan 18, 2009
    Messages:
    70
    Likes Received:
    0
    Status:
    Pre-Dental
    The question is as follows:
    High gloss paint costs $15 more per gallon than Flat finish paint. If the cost of one can of each is 250% of the cost of a gallon of Flat finish paint, how much is the cost of a gallon of Flat finish paint?

    The eqns i was able to come up with:
    H= high gloss paint cost
    F= finish gloss paint cost

    H=15+F
    250/100F
    But there is also an eqn in the soln at the back: F+F+15=250/100F
    I dont understand how they found this last relationship? I would appreciate some feedback. thanks
     
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  3. ci214105

    Joined:
    May 7, 2011
    Messages:
    6
    Likes Received:
    0
    Status:
    Pre-Dental
    The question is as follows:
    High gloss paint costs $15 more per gallon than Flat finish paint. If the cost of one can of each is 250% of the cost of a gallon of Flat finish paint, how much is the cost of a gallon of Flat finish paint?

    The eqns i was able to come up with:
    H= high gloss paint cost
    F= finish gloss paint cost

    H=15+F
    250/100F
    But there is also an eqn in the soln at the back: F+F+15=250/100F
    I dont understand how they found this last relationship? I would appreciate some feedback. thanks

    You have to set up you problem in 2 equations.

    1. H= F + 15

    2. H + F = 250%/100F


    3. Use equation 1 and distribute in equation 2. ,


    So now you have (F +15) + F = 250/100F
     

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