document.write( "Question 34225: How many oz. of pure chocolate must be added to 150 oz that is 60% chocolate to make a topping that is 75% chocolate? \n" ); document.write( "
Algebra.Com's Answer #20514 by venugopalramana(3286)\"\" \"About 
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\n" ); document.write( "PLEASE HELP ASAP: Ziggy's famous yogurt blends regular yogurt that is 3% fat with its no fat yogurt to obtain low fat yogurt that is 1% fat. How many pounds of regular and how many pounds of non-fat yogurt should be mixed to obtain 60 pounds of lowfat yogurt.
\n" ); document.write( "PLEASE HELP ASAP. thank you
\n" ); document.write( "THESE ARE MATERIAL BALANCE PROBLEMS.THE PRINCIPLE IS TO APPLY
\n" ); document.write( "TOTAL OF ALL INPUTS =TOTAL OF ALL OUTPUTS..
\n" ); document.write( "THIS PRINCIPLE CAN BE APPLIED TO TOTAL MIXTURE AS A WHOLE AS WELL AS INDIVIDUAL COMPONENTS OF THE MIXTURE.LET US SEE THE APPLICATION USING YOUR PROBLEM.
\n" ); document.write( "HERE THE MIXTURE COMPRISES 2 INPUTS-REGULAR YOGURT (RY) & NO FAT YOGURT (NFY)
\n" ); document.write( "AND ONE OUT PUT-LOW FAT YOGURT (LFY).THE COMPONENT OF IMPORTANCE IN THE MIXTURE IS FAT CONTENT.SO WE TAKE 2 BALANCES HERE ..ONE FOR THE TOTAL MIXTURE AND ANOTHER FOR COMPONENT OF FAT IN THE MIXTURE.
\n" ); document.write( "I..TOTAL BALANCE...
\n" ); document.write( "INPUTS
\n" ); document.write( "1.QTY.OF.RY=X POUNDS
\n" ); document.write( "2.QTY OF NFY=Y POUNDS
\n" ); document.write( "OUT PUT
\n" ); document.write( "1.QTY.OF LFY=60 POUNDS
\n" ); document.write( "SO APPLYING
\n" ); document.write( "TOTAL OF ALL INPUTS =TOTAL OF ALL OUTPUTS.....WE GET
\n" ); document.write( "X+Y=60.............................I
\n" ); document.write( "II..COMPONENT BALANCE..HERE IT IS FAT .
\n" ); document.write( "INPUTS
\n" ); document.write( "1.QTY.OF FAT IN RY=X*3/100=3X/100 POUNDS
\n" ); document.write( "2.QTY OF FAT IN NFY=Y*0/100=0 POUNDS
\n" ); document.write( "OUT PUT
\n" ); document.write( "1.QTY.OF FAT IN LFY=60*1/100=60/100 POUNDS
\n" ); document.write( "SO APPLYING
\n" ); document.write( "TOTAL OF ALL INPUTS =TOTAL OF ALL OUTPUTS.....WE GET
\n" ); document.write( "3X/100 + 0=60/100.............................II
\n" ); document.write( "3X=60
\n" ); document.write( "X=20 POUNDS. OF REGULAR YOGURT
\n" ); document.write( "Y=60-20=40 POUNDS OF NO FAT YOGURT.\r
\n" ); document.write( "\n" ); document.write( "Mixture_Word_Problems/30587: The amount (by weight) of gold, silver and lead in three alloys of these metals are in ratios:
\n" ); document.write( "4:3:2 - Alloy 1
\n" ); document.write( "3:5:1 - Alloy 2
\n" ); document.write( "2:2:5 - Alloy 3
\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( "1 solutions
\n" ); document.write( "Answer 17262 by venugopalramana(1167) About Me on 2006-03-18 04:34:35 (Show Source):
\n" ); document.write( "The amount (by weight) of gold, silver and lead in three alloys of these metals are in ratios:
\n" ); document.write( "4:3:2 - Alloy 1
\n" ); document.write( "3:5:1 - Alloy 2
\n" ); document.write( "2:2:5 - Alloy 3
\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.
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