document.write( "Question 365568: I am trying to figure out a very basic formula for the following: A pound of cashews sells for $6 per pound and a pound of peanuts sells for $3 per pound. If you would like to make a 4 pound mixture of peanuts and cashews at a cost of $4 per pound, how many pounds of cashews must you use?\r
\n" ); document.write( "\n" ); document.write( "I saw a similar problem solved but no explanation and I couldn't figure out the variables. \n" ); document.write( "
Algebra.Com's Answer #260602 by nerdybill(7384)\"\" \"About 
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A pound of cashews sells for $6 per pound and a pound of peanuts sells for $3 per pound. If you would like to make a 4 pound mixture of peanuts and cashews at a cost of $4 per pound, how many pounds of cashews must you use?
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\n" ); document.write( "Let x = pounds of cashews
\n" ); document.write( "then because there is a total of 4 pounds we have
\n" ); document.write( "4-x = pounds of peanuts
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\n" ); document.write( "\"cost of cashews\" + \"cost of peanuts\" = \"cost of mix\"
\n" ); document.write( "6x + 3(4-x) = 4(4)
\n" ); document.write( "6x + 12-3x = 16
\n" ); document.write( "3x + 12 = 16
\n" ); document.write( "3x = 4
\n" ); document.write( "x = 4/3
\n" ); document.write( "x = 1 and 1/3 pounds (cashews)
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\n" ); document.write( "Peanuts:
\n" ); document.write( "4-x = 4-4/3 = 12/3 - 4/3 = 8/3 = 2 and 2/3 pounds
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