document.write( "Question 79317: Trader Joe has 3 pounds of walnuts and 6 pounds of almonds sell for $51. Five pounds of walnuts and 4 pounds sell for $55. Find the price of 1 pound of almonds.
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Algebra.Com's Answer #56919 by ptaylor(2198)\"\" \"About 
You can put this solution on YOUR website!
Let x= cost of 1 lb walnuts
\n" ); document.write( "And y=cost of 1 lb almonds\r
\n" ); document.write( "\n" ); document.write( "Now we are told that:\r
\n" ); document.write( "\n" ); document.write( "3x+6y=$51--------------------------eq#1\r
\n" ); document.write( "\n" ); document.write( "We are also told that:\r
\n" ); document.write( "\n" ); document.write( "5x+4y=$55------------------------------eq#2\r
\n" ); document.write( "\n" ); document.write( "Multiply eq#1 by 5 and we get:\r
\n" ); document.write( "\n" ); document.write( "15x+30y=$255-------------------------New eq#1\r
\n" ); document.write( "\n" ); document.write( "Multiply eq#2 by 3 and we get:\r
\n" ); document.write( "\n" ); document.write( "15x+12y=$165------------------------New eq#2\r
\n" ); document.write( "\n" ); document.write( "Subtract new eq#1 from new eq#2 and we get:\r
\n" ); document.write( "\n" ); document.write( "18y=90 divide both sides by 18\r
\n" ); document.write( "\n" ); document.write( "y=$5.00------------------------------- cost of 1 lb of almonds\r
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\n" ); document.write( "\n" ); document.write( "substitute $5.00 for y in eq #1\r
\n" ); document.write( "\n" ); document.write( "3x+30=51 subtract 30 froom both sides\r
\n" ); document.write( "\n" ); document.write( "3x=21 divide both sides by 3
\n" ); document.write( "x=$7.00-----------------------------------cost of 1 lb of walnuts\r
\n" ); document.write( "\n" ); document.write( "CK\r
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\n" ); document.write( "\n" ); document.write( "3*$7+6*5=$51\r
\n" ); document.write( "\n" ); document.write( "$21+$30=$51
\n" ); document.write( "$51=$51
\n" ); document.write( "also\r
\n" ); document.write( "\n" ); document.write( "5*$7+4*$5=55\r
\n" ); document.write( "\n" ); document.write( "$35+$20=$55\r
\n" ); document.write( "\n" ); document.write( "$55=$55\r
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\n" ); document.write( "\n" ); document.write( "Hope this helps----------------ptaylor\r
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