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Math Help - word problem

  1. #1
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    word problem

    A school administration has instituted a rule that studentsí shorts may be no shorter than 1/5 of their height. Samís shorts were only 6 inches long, and the administration said that these shorts were 3/7 of the minimum length. How tall is Sam?

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  2. #2
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    Solution

    A school administration has instituted a rule that studentsí shorts may be no shorter than 1/5 of their height. Samís shorts were only 6 inches long, and the administration said that these shorts were 3/7 of the minimum length. How tall is Sam?

    Start by modeling the question.
    Say the student's height is equal to x.
    Then the shorts may be no shorter than (1/5)*x

    Now, Sam's shorts are (3/7) the length of the minimum requirement.
    So, Sam's shorts are (3/7)*(1/5)*x in length
    which is: (3/35)*x

    Now we can set the whole thing equal to 6 since it is the fraction of the height multiplied by the height.

    Set up equation:
    (3/35)*x = 6

    Multiply both sides by 35/3 and you get x=70 inches.
    This is Sam's height, 5 feet 10 inches.

    Hope this helps
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