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A jeweller has bars of 18 - carat gold and 12 - carat gold.how much of each must be melted toghter to optaina bar of 16 - carat gold,weighting 120gm ? Fiven pure gold is 24 - carat.

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Mass of 18 is 80; Mass of 12 is 40.
Solution is
1) M18+M12=M16, given as 120
2) Mg16=16.24x120=80
3).75M18+.5M12=80
(mult by -2)
4)-1.5M18-m12=-160
(adding 1 and 4)
5)-.5M18=-40
6) M18=80
(substituting into 1)
7) M12=40

Posted on Jun 18, 2009

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