document.write( "Question 908078: A merchant has 8 pounds of mixed nuts that costs $45. He wants to add peanuts that costs $1.75 per pound and cashews that costs $4.25 per pound to obtain 75pounds of a mixture that costs $3 per pound. How many pounds of peanuts and cashews will you need? \n" ); document.write( "
Algebra.Com's Answer #550784 by richwmiller(17219)\"\" \"About 
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45+1.75p+4.25c=75*3
\n" ); document.write( "45*+1.75p+4.25c=225
\n" ); document.write( "1.75p+4.25c=180
\n" ); document.write( "p+c=67
\n" ); document.write( "Since there will be 75 lbs and you already have 8 lbs, you need 67 lbs of peanuts and cashews.\r
\n" ); document.write( "\n" ); document.write( "x+y=67,
\n" ); document.write( "1.75*x+4.25*y=180
\n" ); document.write( "x=67-y
\n" ); document.write( "1.75*(67-y)+4.25*y=180
\n" ); document.write( "117.25-1.75y+4.25*y=180
\n" ); document.write( "2.5*y=62.75
\n" ); document.write( "y=25.1
\n" ); document.write( "x=67-y
\n" ); document.write( "peanuts x=41.9 at 1.75 and cashews y=25.1 at 4.25
\n" ); document.write( "check
\n" ); document.write( "41.9+25.1=67
\n" ); document.write( "1.75*x+4.25*y=180
\n" ); document.write( "1.75*41.9+4.25*25.1=180
\n" ); document.write( "73.325+106.675=180
\n" ); document.write( "180.0=180
\n" ); document.write( "ok\r
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