document.write( "Question 973901: John mixed cashews and almonds.
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document.write( " -John bought 4 pounds of almonds for a total cost of $22.
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document.write( " -The cost per pound for cashews is 60% more than the cost per pound for almonds.
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document.write( " -John bought enough cashews that, when he mixed them with the almonds, the mixture had a value of $6.50 per pound.
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document.write( "Approximately what percent of the mixture, by weight, was cashews? \n" );
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Algebra.Com's Answer #595936 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! -John bought 4 pounds of almonds for a total cost of $22. \n" ); document.write( "almonds cost 22/4 = $5.50 per lb \n" ); document.write( "---------------------------------- \n" ); document.write( "-The cost per pound for cashews is 60% more than the cost per pound for almonds. \n" ); document.write( "1.6*5.5 = $8.80 per lb \n" ); document.write( "----------------------------------- \n" ); document.write( "-John bought enough cashews that, when he mixed them with the almonds, the mixture had a value of $6.50 per pound. \n" ); document.write( "Approximately what percent of the mixture, by weight, was cashews? \n" ); document.write( "Equation: \n" ); document.write( "value + value = value \n" ); document.write( "5.5a + 8.8c = 6.50(a+c) \n" ); document.write( "5.5a + 8.8c = 6.5a + 6.5c \n" ); document.write( "----- \n" ); document.write( "1a = 2.3c \n" ); document.write( "---- \n" ); document.write( "c = a/2.3 \n" ); document.write( "c = 0.435a \n" ); document.write( "------ \n" ); document.write( "Total weight = a + c \n" ); document.write( "Total weight = 1.435a \n" ); document.write( "---- \n" ); document.write( "Percent of cashews = wt of cashews/total weight \n" ); document.write( "Percent of cashews = 0.435a/1.435a = 38.3% \n" ); document.write( "-------------- \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "--------------- \n" ); document.write( " |