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Math Help - Can someone work out these mixtures and weighted averages problems?

  1. #1
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    Can someone work out these mixtures and weighted averages problems?

    Studying for a test and I would like to see these problems set up as an equation and then worked out please. Thanks!

    1.How many liters of a 90% acid solution must be added to 6 liters of a 15% acid solution to obtain a 40% acid solution?

    2.Two airplanes leave the Atlanta airport at the same time, traveling in opposite directions. One plane travels 30 miles per hour faster than the other. After 3 hours, the planes are 3150 miles apart. What is the rate of each plane?
    Paula leaves home driving 40 miles per hour. One hour later, her brother Dan leaves home, driving in the same direction at a speed of 50 miles per hour. How long will it take Dan to catch up to Paula? Let Dan's time = t. Round to the nearest whole hour.

    3.Paula leaves home driving 40 miles per hour. One hour later, her brother Dan leaves home, driving in the same direction at a speed of 50 miles per hour. How long will it take Dan to catch up to Paula? Let Dan's time = t. Round to the nearest whole hour.
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  2. #2
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    Re: Can someone work out these mixtures and weighted averages problems?

    Solution - ALWAYS find one substance and build an equation.

    Start with how much acid
    Add how much acid
    End up with how much acid

    OR

    Start with how much nonacid
    Add how much nonacid
    End up with how much nonacid

    In this case, 6 litre solution * 0.15 = 0.9 litre acid, and thus 6 litre mixture - 0.9 litre acid = 5.1 litre nonacid.

    There you go, either or these will get you on your way...

    Start with 0.9 litre acid


    Start with 5.1 litre nonacid
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