document.write( "Question 1015115: Rs 400 be divided among 6 men,12 women and 17 boys so that 2 men receive as much as 5 boys and 2 women as much as 3 boys.how much will one man ,one woman and one boy get in total?
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Algebra.Com's Answer #631505 by josmiceli(19441)\"\" \"About 
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Let \"+a+\" = share for 1 man
\n" ); document.write( "Let \"+b+\" = share for 1 woman
\n" ); document.write( "Let \"+c+\" = share for 1 boy
\n" ); document.write( "----------------------------
\n" ); document.write( "(1) \"+6a+%2B+12b+%2B+17c+=+400+\"
\n" ); document.write( "(2) \"+2a+=+5c+\"
\n" ); document.write( "(3) \"+2b+=+3c+\"
\n" ); document.write( "------------------
\n" ); document.write( "(2) \"+a+=+%285%2F2%29%2Ac+\"
\n" ); document.write( "(3) \"+b+=+%283%2F2%29%2Ac+\"
\n" ); document.write( "--------------------
\n" ); document.write( "Substitute (2) and (3) into (1)
\n" ); document.write( "(1) \"+6a+%2B+12b+%2B+17c+=+400+\"
\n" ); document.write( "(1) \"+6%2A%285%2F2%29%2Ac+%2B+12%2A%283%2F2%29%2Ac+%2B+17c+=+400+\"
\n" ); document.write( "(1) \"+15c+%2B+18c+%2B+17c+=+400+\"
\n" ); document.write( "(1) \"+50c+=+400+\"
\n" ); document.write( "(1) \"+c+=+8+\"
\n" ); document.write( "and
\n" ); document.write( "(2) \"+a+=+%285%2F2%29%2Ac+\"
\n" ); document.write( "(2) \"+a+=+%285%2F2%29%2A8+\"
\n" ); document.write( "(2) \"+a+=+20+\"
\n" ); document.write( "and
\n" ); document.write( "(3) \"+b+=+%283%2F2%29%2Ac+\"
\n" ); document.write( "(3) \"+b+=+%283%2F2%29%2A8+\"
\n" ); document.write( "(3) \"+b+=+12+\"
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\n" ); document.write( "1 man, 1 woman, and 1 boy will get:
\n" ); document.write( "\"+20+%2B+12+%2B+8+=+40+\"
\n" ); document.write( "----------------------
\n" ); document.write( "check:
\n" ); document.write( "(1) \"+6a+%2B+12b+%2B+17c+=+400+\"
\n" ); document.write( "(1) \"+6%2A20+%2B+12%2A12+%2B+17%2A8+=+400+\"
\n" ); document.write( "(1) \"+120+%2B+144+%2B+136+=+400+\"
\n" ); document.write( "(1) \"+400+=+400+\"
\n" ); document.write( "OK
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