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5 May, 14:37

Y Varies directly as X and inversely as Z. Y=100 when X=5 and Z=10 Find Y when X=3 and Z=60

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  1. 5 May, 14:52
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    y = 10

    Step-by-step explanation:

    based on the question if y varries directly as x

    mathematically

    y ∝ x

    also, y varries inversly as z can be mathematically expressed as

    y ∝ 1/z

    combining the two expressions

    y ∝ x ∝ 1/z

    i. e

    y = kx/z ... where k is the constant of proportionality

    make k the subject of formulae

    yz = kx

    Divide both sides by x

    k = yz/x

    when y=100, x = 5 z = 10

    k = 100 * 10/5

    k = 200

    to find y when x = 3 and z = 60

    from the equation connecting x, y, z

    k = yz/x

    200 = 60y/3

    cross multiply

    60y = 200 * 3

    60y = 600

    divide both sides by 60

    y = 10
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