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5 January, 21:39

Mixture Problem A jeweler has five rings, each weigh - ing 18 g, made of an alloy of 10% silver and 90% gold. She decides to melt down the rings and add enough silver to reduce the gold content to 75%. How much silver should she add?

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  1. 5 January, 22:57
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    Total weight of 5 rings

    = 18 x 5

    = 90 g

    silver = 10% of 90 g

    = 9 g

    gold = 81 g

    Let silver added = x gm

    Total weight = 90 + x

    75% of (90+x) is gold

    = 3/4 x (90+x) g is gold

    So 3/4 x (90+x) = 81

    (90+x) = 81 x 4 / 3

    = 108

    x = 18 g

    silver to be added = 18g.
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