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Linda is 9/10 as tall as patrick and 3/4 as tall as Ali. If the total height of the 3 pupils is 418.5 cm, how much taller is Ali than Patrick? Please help me and tell me how you get the answer step by step. Thanks

  • Math -

    Let the heights be L, P and A.
    L + P + A = 418.5
    L = (9/10) P (or P = 10/9 L)
    L = (3/4) A (or A = 4/3

    You now have three equations in three unknowns.

    You can use the method of substitution to turn them into one equation in one unknown.
    L (1 + 10/9 + 4/3) = (31/9)L = 418.5
    L = 121.5 cm
    P = 135 cm
    A = 162 cm

    A - P = 27 cm

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