document.write( "Question 886399: A grocer mixed 50kilos of first class sugar and third class sugar which he sold at 2.90 a kilo.first class sugar sells at 3.50 a kilo and third class sugar at 2 a kilo. How many kilos of first and third class sugar did the grocer mix to produce second class sugar?
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Algebra.Com's Answer #535906 by josmiceli(19441)\"\" \"About 
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Let \"+a+\" = kilos of 1st class sugar needed
\n" ); document.write( "Let \"+b+\" = kilos of 3rd class sugar needed
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\n" ); document.write( "Given:
\n" ); document.write( "(1) \"+a+%2B+b+=+50+\"
\n" ); document.write( "(2) \"+%28+3.5a+%2B+2b+%29+%2F+50+=+2.9+\"
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\n" ); document.write( "(2) \"+3.5a+%2B+2b+=+2.9%2A50+\"
\n" ); document.write( "(2) \"+3.5a+%2B+2b+=+145+\"
\n" ); document.write( "(2) \"+35a+%2B+20b+=+1450+\"
\n" ); document.write( "Multiply both sides of (1) by \"+20+\"
\n" ); document.write( "and subtract (1) from (2)
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\n" ); document.write( "(2) \"+35a+%2B+20b+=+1450+\"
\n" ); document.write( "(1) \"+-20a+-+20b+=+-1000+\"
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\n" ); document.write( "\"+15a+=+450+\"
\n" ); document.write( "\"+a+=+30+\"
\n" ); document.write( "and
\n" ); document.write( "(1) \"+30+%2B+b+=+50+\"
\n" ); document.write( "(1) \"+b+=+20+\"
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\n" ); document.write( "30 kilos of 1st class sugar are needed
\n" ); document.write( "20 kilos of 3rd class sugar are needed
\n" ); document.write( "check answer:
\n" ); document.write( "(2) \"+%28+3.5a+%2B+2b+%29+%2F+50+=+2.9+\"
\n" ); document.write( "(2) \"+%28+3.5%2A30+%2B+2%2A20+%29+%2F+50+=+2.9+\"
\n" ); document.write( "(2) \"+%28+105+%2B+40+%29+%2F+50+=+2.9+\"
\n" ); document.write( "(2) \"+145+=+2.9%2A50+\"
\n" ); document.write( "(2) \"+145+=+145+\"
\n" ); document.write( "OK
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