document.write( "Question 542684: Cashews cost $4 per pound and peanuts cost $1 per pound. How many pounds of peanuts should be used with the cashews to get a mixture of 24 pounds that will cost $2 per pound? \n" ); document.write( "

Algebra.Com's Answer #354654 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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Cashews cost $4 per pound and peanuts cost $1 per pound.
\n" ); document.write( "How many pounds of peanuts should be used with the cashews to get a mixture of 24 pounds that will cost $2 per pound?
\n" ); document.write( ":
\n" ); document.write( "Let x = no. of lbs of peanuts
\n" ); document.write( "It states the total weight will be 24 lb, therefore
\n" ); document.write( "(24-x) = no. of lbs of cashews
\n" ); document.write( ":
\n" ); document.write( "A typical mixture equation
\n" ); document.write( "1x + 4(24-x) = 2(24)
\n" ); document.write( "x + 96 - 4x = 48
\n" ); document.write( "x - 4x = 48 - 96
\n" ); document.write( "-3x = -48
\n" ); document.write( "x = 48/3
\n" ); document.write( "x = 16 lb of peanuts required
\n" ); document.write( ":
\n" ); document.write( "Check solution (8 lb of cashews required)
\n" ); document.write( "1(16) + 4(8) = 2(24) \n" ); document.write( "

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