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Math Help - Assistance on Algebra word problem

  1. #1
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    Assistance on Algebra word problem

    Anklescratch County and Kneebend County are two adjacent counties. In Anklescratch County, 30% of the miles of road have bike lanes, whereas in Kneebend County, only 10% of the miles of road have bike lanes.


    A. Elliot say that in the two-county area, 40% of the miles of road have bike lanes. Elliot found 40% by adding 30% and 10%. Is she correct?

    B.What percent of miles of road in the two-county area have bike lanes if Anklescratch County has 200 miles of road and Kneebend County has 800 miles of road? What if it's the other way around and Anklescratch County has 800 miles of road and Kneebend County has 200 miles of road?

    C.Ming says that 20% of the miles of road in the two-county area have bike lanes because 20% is the average of 10% and 30%. Explain why Ming's answers could be either correct or incorrect. Under what circumstances will Ming's answer be correct
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  2. #2
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    Re: Assistance on Algebra word problem

    Let total roads be 100 miles in each country
    Anklescratch County has 30 miles bike lanes
    and Kneebend County has 10 miles bike lanes
    consider both countries total roads = 100 + 100 = 200 miles
    total bike lanes = 30 + 10 = 40 miles
    % = 40/200 100 = 20 % and not 40%

    In Anklescratch County has 200 0.30 = 60 miles bike lanes
    and Kneebend County has 800 0.1 = 80 miles bike lanes
    consider both countries total roads = 200 + 800 = 1000 miles
    total bike lanes = 60 + 80 = 140 miles
    % = 140/1000 100 = 14 %
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