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The amount (by weight) of gold, silver and lead in three alloys of these metals are in ratios:\r
\n" ); document.write( "\n" ); document.write( "4:3:2 - Alloy 1
\n" ); document.write( "3:5:1 - Alloy 2
\n" ); document.write( "2:2:5 - Alloy 3\r
\n" ); document.write( "\n" ); document.write( "It is desired to make a fourth alloy containing equal amounts of gold, silver and lead. How many grams each alloy should be used for every 10 grams of the new alloy?
\n" ); document.write( "LET X GMS OF ALLOY1 ,Y GMS OF ALLOY2 AND 10-X-Y GMS OF ALLOY3 BE USED TO GET
\n" ); document.write( "X+Y+10-X-Y=10 GMS OF ALLOY 4
\n" ); document.write( "SO.................GOLD..............SIVER............LEAD IN THE MIX IS GIVEN BY
\n" ); document.write( "X GMS A1...........4X/9..............3X/9..........2X/9
\n" ); document.write( "Y GMS A2...........3Y/9..............5Y/9...........Y/9....
\n" ); document.write( "10-X-Y GMS A3....(20-2X-2Y)/9 ......(20-2X-2Y)/9...(50-5X-5Y)/9
\n" ); document.write( "-------------------------------------------------------------------------------
\n" ); document.write( "10 GMS A4.......(20+2X+Y)/9........(20+X+3Y)/9.....(50-3X-4Y)/9
\n" ); document.write( "THESE ARE ALL EQUAL...HENCE
\n" ); document.write( "20+2X+Y = 20+X+3Y...OR......................X-2Y=0..............I
\n" ); document.write( "20+2X+Y = 50-3X-4Y...OR...5X+5Y=30....OR....X+Y=6......II
\n" ); document.write( "EQN.II - EQN I...GIVES
\n" ); document.write( "X+Y-X+2Y=6......OR 3Y=6.....Y=2
\n" ); document.write( "SO X=6-Y=6-2=4
\n" ); document.write( "Z=10-4-2=4...
\n" ); document.write( "HENCE 4 GMS OF A1,2 GMS OF A2 AND 4 GMS OF A3 ARE TO BE ADDED TO GET 10 GMS OF A4. \n" ); document.write( "