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3 June, 16:01

At a jewelry store, the price p of a gold necklace varies directly with its length l. Also, the weight w of a necklace varies directly with its length. Show that the price of a necklace varies directly with its weight.

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  1. 3 June, 16:06
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    Since p varies directly with l,

    p = kl (1)

    Also, since w varies directly with l,

    w = ml

    or, l = w/m

    Substitute in (1), we get,

    p = k (w/m)

    = (k/m) w

    So, the price varies directly with weight.
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