document.write( "Question 939413: A grocer is mixing 80 cent per kg coffee with $1.20 per kg coffee to
\n" ); document.write( "make a mixture worth $1.08 per kg. How much of each kind of coffee should be used to make
\n" ); document.write( "70 kg of the mixture?\r
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Algebra.Com's Answer #572407 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
Let \"+a+\" = kg of $.80/kg coffee needed
\n" ); document.write( "Let \"+b+\" = kg of $1.20/kg coffee needed
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\n" ); document.write( "(1) \"+a+%2B+b+=+70+\"
\n" ); document.write( "(2) \"+%28+.8a+%2B+1.2b+%29+%2F+70+=+1.08+\"
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\n" ); document.write( "(2) \"+.8a+%2B+1.2b+=+1.08%2A70+\"
\n" ); document.write( "(2) \"+.8a+%2B+1.2b+=+75.6+\"
\n" ); document.write( "(2) \"+8a+%2B+12b+=+756+\"
\n" ); document.write( "(2) \"+2a+%2B+3b+=+189+\"
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\n" ); document.write( "Multiply both sides of (1) by \"+2+\"
\n" ); document.write( "and subtract (1) from (2)
\n" ); document.write( "(2) \"+2a+%2B+3b+=+189+\"
\n" ); document.write( "(1) \"+-2a+-+2b+=+-140+\"
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\n" ); document.write( "\"+b+=+49+\"
\n" ); document.write( "and
\n" ); document.write( "(1) \"+a+%2B+b+=+70+\"
\n" ); document.write( "(1) \"+a+=+21+\"
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\n" ); document.write( "21 kg of $.80/kg coffee are needed
\n" ); document.write( "49 kg of $1.20/kg coffee are needed
\n" ); document.write( "check:
\n" ); document.write( "(2) \"+%28+.8%2A21+%2B+1.2%2A49+%29+%2F+70+=+1.08+\"
\n" ); document.write( "(2) \"+%28+16.8+%2B+58.8+%29+%2F+70+=+1.08+\"
\n" ); document.write( "(2) \"+75.6+=+75.6+\"
\n" ); document.write( "OK\r
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