Algebra

While going for my daily run, I passed a squirrel carrying a nut in her mouth. When she saw me, she ran towards a safe place and, coming to a stone wall, easily jumped up on it and disappeared. I began to wonder how high I could jump if I were a squirrel.

If an average squirrel's back leg height from ground to hip is 3 ½ inches, and that squirrel can jump a 2 foot high wall, what height wall could I jump if I were a giant squirrel? My leg height from ground to hip is 36 inches. Give your answer in inches.

asked by Samay
  1. Let's use a proportion.

    3.5/2 = 36/x

    3.5x = 72

    x = 20.57 feet

    20.57 * 12 = _______ inches

    posted by Ms. Sue
  2. 3 ½ = 3.5 = 7 / 2

    2 foot = 2 ∙ 12 = 24 in


    3.5 / 24 = 36 / x

    Cross-multiply:

    3.5 ∙ x = 24 ∙ 36

    3.5 x = 864

    Divide both sides by 3.5

    x = 864 / 3.5 =

    864 / ( 7 / 2 ) =

    864 ∙ 2 / 7 =

    1728 / 7 =

    ( 1722 + 6 ) / 7 =

    1722 / 7 + 6 / 7 =

    246 + 6 / 7 = 246 6/7 in


    posted by Bosnian

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