document.write( "Question 1056815: The owner of Nuts2U Snack Shack mixes cashews worth $6.00 a pound with peanuts worth $2.30 a pound to get a half-pound, mixed-nut bag worth $1.70.
\n" ); document.write( " How much of each kind of nut is included in the mixed bag?
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Algebra.Com's Answer #671889 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
Let \"+a+\" = pounds of cashews needed
\n" ); document.write( "Let \"+b+\" = pounds of peanuts needed
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\n" ); document.write( "(1) \"+a+%2B+b+=+.5+\"
\n" ); document.write( "(2) \"+6a+%2B+2.3b+=+1.7+\"
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\n" ); document.write( "(2) \"+60a+%2B+23b+=+17+\"
\n" ); document.write( "and
\n" ); document.write( "(1) \"+2a+%2B+2b+=+1+\"
\n" ); document.write( "Multiply both sides of (1) by \"+30+\"
\n" ); document.write( "and subtract (2) from (1)
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\n" ); document.write( "(1) \"+60a+%2B+60b+=+30+\"
\n" ); document.write( "(2) \"+-60a+-+23b+=+-17+\"
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\n" ); document.write( "\"+37b+=+13+\"
\n" ); document.write( "\"+b+=+.351+\"
\n" ); document.write( "and
\n" ); document.write( "(1) \"+a+%2B+b+=+.5+\"
\n" ); document.write( "(1) \"+a+%2B+.351+=+.5+\"
\n" ); document.write( "(1) \"+a+=+.149+\"
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\n" ); document.write( ".149 pounds of cashews are needed
\n" ); document.write( ".351 pounds of peanuts are needed
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\n" ); document.write( "check:
\n" ); document.write( "(2) \"+6a+%2B+2.3b+=+1.7+\"
\n" ); document.write( "(2) \"+6%2A.149+%2B+2.3%2A.351+=+1.7+\"
\n" ); document.write( "(2) \"+.894+%2B+.8073+=+1.7+\"
\n" ); document.write( "(2) \"+1.7013+=+1.7+\"
\n" ); document.write( "error due to rounding off, I think
\n" ); document.write( "Definitely get another opinion on this problem\r
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