document.write( "Question 148915: cashews sell for $5 per pound and peanuts sell for $2 per pound. How many pounds of each would you use to make 21 pounds of a mixture that sells for $3.00 per pound? \n" ); document.write( "
Algebra.Com's Answer #109239 by nabla(475)\"\" \"About 
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C(s)=5s
\n" ); document.write( "P(t)=2t\r
\n" ); document.write( "\n" ); document.write( "where s is the amount of pounds of cashews, and t is the amount of pounds of peanuts.\r
\n" ); document.write( "\n" ); document.write( "We want
\n" ); document.write( "(C(s)+P(t))/(s+t)=3\r
\n" ); document.write( "\n" ); document.write( "and\r
\n" ); document.write( "\n" ); document.write( "s+t=21\r
\n" ); document.write( "\n" ); document.write( "thus,\r
\n" ); document.write( "\n" ); document.write( "C(s)+P(t)=63
\n" ); document.write( "5s+2t=63.
\n" ); document.write( "s+t=21--->s=21-t\r
\n" ); document.write( "\n" ); document.write( "5(21-t)+2t=63
\n" ); document.write( "-3t=-42
\n" ); document.write( "t=14\r
\n" ); document.write( "\n" ); document.write( "If t=14,
\n" ); document.write( "5s+28=63
\n" ); document.write( "5s=35
\n" ); document.write( "s=7\r
\n" ); document.write( "\n" ); document.write( "So we want a mixture of 7 lb of cashews and 14 lb of peanuts in order to make 21 lb of mixture that will sell for $3./lb.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Check:
\n" ); document.write( "7*5=35
\n" ); document.write( "2*14=28
\n" ); document.write( "35+28=63\r
\n" ); document.write( "\n" ); document.write( "$63/21 lb=$3/lb
\n" ); document.write( " \n" ); document.write( "
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