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ICSE Class 9 Answered

A Jeweller has bars of 18 carats gold and 12 caratsgold. How much of each must be melted togetherto obtain a bar of 16 carats gold weighing 120 grams
Asked by Sumanchaudhary1110 | 12 Jul, 2018, 09:56: PM
answered-by-expert Expert Answer
begin mathsize 16px style Let space straight x space gm space of space 18 space carat space gold space is space added. rightwards double arrow The space an equals mount space of space 12 space carat space gold space added space is space left parenthesis 120 space minus space straight x right parenthesis space gm. Purity space of space gold space is space 24 space carats. According space to space the space given space conditions comma we space get straight x space cross times space fraction numerator 18 over denominator 24 space end fraction space plus space left parenthesis 120 space minus space straight x right parenthesis space cross times 12 over 24 space equals space 120 space cross times 16 over 24 rightwards double arrow 18 straight x space plus 12 space left parenthesis 120 space minus space straight x right parenthesis space equals space 120 space cross times space 16 rightwards double arrow 18 straight x space plus space 1440 space minus 12 straight x space equals space 1920 rightwards double arrow 6 straight x space equals space 1990 space minus space 1440 rightwards double arrow straight x space equals 480 over 6 equals space 80 Therefore comma space 80 space grams space of space 18 space carat space gold space is space added space with space 120 space minus space 80 space equals space 40 space grams space of space 12 space carat space gold comma to space obtain space straight a space bar space of space 16 space carats space gold space weighing space 120 space grams. end style
Answered by Yasmeen Khan | 13 Jul, 2018, 12:06: PM

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