document.write( "Question 1096386: A profit of Rs 1360 is to be distributed among A , B and C in such way that A gets 2/3 of B' share and B gets 1/4 of C' share . find the amount that B gets ? \n" ); document.write( "

Algebra.Com's Answer #710809 by josmiceli(19441) $\"\"$ $\"About$

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(1) $\"+a+%2B+b+%2B+c+=+1360+\"$
\n" ); document.write( "(2) $\"+a+=+%282%2F3%29%2Ab+\"$
\n" ); document.write( "(3) $\"+b+=+%281%2F4%29%2Ac+\"$
\n" ); document.write( "-------------------------
\n" ); document.write( "(3) $\"+c+=+4b+\"$
\n" ); document.write( "Plug (2) and (3) into (1)
\n" ); document.write( "(1) $\"+%282%2F3%29%2Ab+%2B+b+%2B+4b+=+1360+\"$
\n" ); document.write( "(1) $\"+2b+%2B+3b+%2B+12b+=+4080+\"$
\n" ); document.write( "(1) $\"+17b+=+4080+\"$
\n" ); document.write( "(1) $\"+b+=+240+\"$
\n" ); document.write( "and
\n" ); document.write( "(3) $\"+c+=+4b+\"$
\n" ); document.write( "(3) $\"+c+=+4%2A240+\"$
\n" ); document.write( "(3) $\"+c+=+960+\"$
\n" ); document.write( "and
\n" ); document.write( "(2) $\"+a+=+%282%2F3%29%2Ab+\"$
\n" ); document.write( "(2) $\"+a+=+%282%2F3%29%2A240+\"$
\n" ); document.write( "(2) $\"+a+=+160+\"$
\n" ); document.write( "-------------------------
\n" ); document.write( "B gets Rs 240
\n" ); document.write( "----------------
\n" ); document.write( "check:
\n" ); document.write( "(1) $\"+a+%2B+b+%2B+c+=+1360+\"$
\n" ); document.write( "(1) $\"+160+%2B+240+%2B+960+=+1360+\"$
\n" ); document.write( "(1) $\"+1360+=+1360+\"$
\n" ); document.write( "OK \n" ); document.write( "

\n" );