document.write( "Question 213416: Three salesman went to 400 households to sell a certain brand of rice cookers costing $60 each.15% of the households bought a rice cooker each from them.if the three salesman sold ricecooker in the ratio 3:4:5, find the commission each salesman recieved if the commission is 4% of the total sales \n" ); document.write( "
Algebra.Com's Answer #161196 by josmiceli(19441)\"\" \"About 
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The number of households that bought rice cookers was
\n" ); document.write( "\".15%2A400+=+60\"
\n" ); document.write( "Each household bought 1 rice cooker
\n" ); document.write( "Let \"a\" = the number sold by salesman A
\n" ); document.write( "Let \"b\" = the number sold by salesman B
\n" ); document.write( "Let \"c\" = the number sold the salesman C
\n" ); document.write( "(1) \"a+%2B+b+%2B+c+=+60\"
\n" ); document.write( "(2) \"a%2Fb+=+3%2F4\"
\n" ); document.write( "(3) \"b%2Fc+=+4%2F5\"
\n" ); document.write( "This is 3 equations with 3 unknowns, so it should be solvable
\n" ); document.write( "From (2)
\n" ); document.write( "\"a+=+%283%2F4%29%2Ab\"
\n" ); document.write( "From (3)
\n" ); document.write( "\"c+=+%285%2F4%29%2Ab\"
\n" ); document.write( "Now rewrite (1)
\n" ); document.write( "\"%283%2F4%29%2Ab+%2B+b+%2B+%285%2F4%29%2Ab+=+60\"
\n" ); document.write( "Multiply both sides by \"4\"
\n" ); document.write( "\"3b+%2B+4b+%2B+5b+=+240\"
\n" ); document.write( "\"12b+=+240\"
\n" ); document.write( "\"b+=+20\"
\n" ); document.write( "and
\n" ); document.write( "\"a+=+%283%2F4%29%2Ab\"
\n" ); document.write( "\"a+=+%283%2F4%29%2A20\"
\n" ); document.write( "\"a+=+15\"
\n" ); document.write( "and
\n" ); document.write( "\"c+=+%285%2F4%29%2Ab\"
\n" ); document.write( "\"c+=+%285%2F4%29%2A20\"
\n" ); document.write( "\"c+=+25\"
\n" ); document.write( "The 3 salesmen charged $60 for each rice cooker
\n" ); document.write( "A's $ sales = \"15%2A60+=+900\"
\n" ); document.write( "B's $ sales = \"20%2A60+=+1200\"
\n" ); document.write( "C's $ sales = \"25%2A60+=+1500\"
\n" ); document.write( "A's commision = \".04%2A900+=+36\"
\n" ); document.write( "B's commision = \".04%2A1200+=+48\"
\n" ); document.write( "C's commision = \".04%2A1500+=+60\"
\n" ); document.write( "Hope I didn't misread the problem!\r
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