document.write( "Question 344406: We have 171 kg rice custing 7 rs/kg.we have rice at 11 rs/kg and 2 rs/kg .then after mixing 11 rs/kg and 2 rs/kg rice. What is quantity of 11 rs/kg rice .. \n" ); document.write( "

Algebra.Com's Answer #246335 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"a\"$ = kg of 11 rs/kg rice needed
\n" ); document.write( "Let $\"b\"$ = kg of 2 rs/kg rice needed
\n" ); document.write( " $\"11a\"$ = cost of 11 rs/kg rice
\n" ); document.write( " $\"2b\"$ = cost of 2 rs/kg rice
\n" ); document.write( " $\"7%2A171\"$ = cost of 7 rs/kg rice
\n" ); document.write( "given:
\n" ); document.write( "(1) $\"a+%2B+b+=+171\"$
\n" ); document.write( " $\"11a+%2B+2b+=+7%2A171\"$
\n" ); document.write( "(2) $\"11a+%2B+2b+=+1197\"$
\n" ); document.write( "Multiply both sides of (1) by $\"2\"$
\n" ); document.write( "and subtract (1) from (2)
\n" ); document.write( "(2) $\"11a+%2B+2b+=+1197\"$
\n" ); document.write( "(1) $\"-2a+-+2b+=+-342\"$
\n" ); document.write( " $\"9a+=+855\"$
\n" ); document.write( " $\"a+=+95\"$
\n" ); document.write( "The quantity of 11 rs/kg rice needed is 95 kg
\n" ); document.write( "And, from (1):
\n" ); document.write( " $\"a+%2B+b+=+171\"$
\n" ); document.write( " $\"95+%2B+b+=+171\"$
\n" ); document.write( " $\"b+=+76\"$
\n" ); document.write( "check answer:
\n" ); document.write( "(2) $\"11a+%2B+2b+=+1197\"$
\n" ); document.write( "(2) $\"11%2A95+%2B+2%2A76+=+1197\"$
\n" ); document.write( " $\"1045+%2B+152+=+1197\"$
\n" ); document.write( " $\"1197+=+1197\"$
\n" ); document.write( "OK \n" ); document.write( "

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