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Deepak Bora
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A Jeweller has bars of 18 carat gold and 12-carat gold. How much of each must be melted together to obtain a bar of 16-carat gold, weighing 120g?(given :pure gold is 24 carat)

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ICSE & CBSE Board Question Based on Linear Equations in two Variables of RS Aggarwal
In this question following points are given.
(i)How much jeweller has bars of gold
You have to find How much each must be melted together to obtain a given bar gold of given weigh.
This is the Question Number 54 Of Exercise 3E of RS Aggarwal Solution.

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1 Answer

  1. Let quantity of 18carat gold be x

    12 = y

    X+y=120 —i

    18x+12y=16*120

    3x +2y =320—–ii

    Subtracting ii from i

    3x+3y=360

    3x+2y=320

    y=40

    Substituting. ..

    X+y =120

    X+40=120

    X=120-40=80

    quantity of 18 Carat gold = 80gm

    16= 40gm

     

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