document.write( "Question 1158768: A grocer mixes peanuts that cost $1.49 per pound and walnuts that cost $2.69 per pound to make 100 pounds of a mixture that costs $2.21 per pound. How much of each kind of nut is put into the mixture? \n" ); document.write( "

Algebra.Com's Answer #781751 by VFBundy(438) $\"\"$ $\"About$

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Lbs. of peanuts = p
\n" ); document.write( "Lbs. of walnuts = w
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\n" ); document.write( "p + w = 100
\n" ); document.write( "1.49p + 2.69w = 2.21(100)
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\n" ); document.write( "p + w = 100
\n" ); document.write( "1.49p + 2.69w = 221
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\n" ); document.write( "Multiply first equation by -2.69:
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\n" ); document.write( "-2.69p - 2.69w = -269
\n" ); document.write( "1.49p + 2.69w = 221
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\n" ); document.write( "Add equations together:
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\n" ); document.write( "-1.20p = -48
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\n" ); document.write( "p = 40
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\n" ); document.write( "Since we now know p = 40...and p + w = 100...that means w = 60.
\n" ); document.write( "
\n" ); document.write( "Lbs. of peanuts = p = 40
\n" ); document.write( "Lbs. of walnuts = w = 60 \n" ); document.write( "

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