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Math Help - Simultaneous equations help

  1. #1
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    Simultaneous equations help

    A barbecue manufacturer makes 2 models, the Outback and Bush Walker. It is known that 20 percent more of the Outback model is sold than the Bush Walker. A profit of $200 is made on each Outback sold but $350 is made on each Bush Walker. If during the next year a profit of $177000 is planned, how many of each barbecue must be sold?

    How would I go about doing this? I've already tried but I can't seem to get a start. Can someone start me off?

    All I have atm is

    Let a be the total number of Outbacks sold and b is Bushwalkers sold

    200a+350b = 177000

    Well I figured some more out. Since there is 20 percent more of a sold than  b that means  b=0.8a

    If I sub that in I get a=368.75 and b=295

    Is this right?
    Last edited by jgv115; November 15th 2010 at 09:52 PM.
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  2. #2
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    Actually, if 20% more of the ouback model is sold than the bushwalker, then \displaystyle a = 1.2 b (because you end up with 120% of the number of bushwalkers).

    So substitute this into your other equation.
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  3. #3
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    Thanks Prove It.

    Appreciated bro
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