document.write( "Question 937628: A sum of rs 8400 is made up of 50,20,10 and 5 rupee notes. The number of 10 rupee note is five times the number of 5 rupee notes,four times the number of 20 rupee note and ten times the number of 50 rupee note. what is the number of notes in each denomination \n" ); document.write( "
Algebra.Com's Answer #571045 by josmiceli(19441)\"\" \"About 
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Let \"+a+\" = number of 5 rupee notes
\n" ); document.write( "Let \"+b+\" = number of 10 rupee notes
\n" ); document.write( "Let \"+c+\" = number of 20 rupee notes
\n" ); document.write( "Let \"+d+\" = number of 50 rupee notes
\n" ); document.write( "----------------------------------
\n" ); document.write( "(1) \"+b+=+5a+\"
\n" ); document.write( "(2) \"+b+=+4c+\"
\n" ); document.write( "(3) \"+b+=+10d+\"
\n" ); document.write( "(4) \"+5a+%2B+10b+%2B+20c+%2B+50d+=+8400+\"
\n" ); document.write( "-----------------------------------
\n" ); document.write( "(1) \"+a+=+b%2F5+\"
\n" ); document.write( "(2) \"+c+=+b%2F4+\"
\n" ); document.write( "(3) \"+d+=+b%2F10+\"
\n" ); document.write( "By substitution:
\n" ); document.write( "(4) \"+5%2A%28b%2F5%29+%2B+10b+%2B+20%2A%28b%2F4%29+%2B+50%2A%28b%2F10%29+=+8400+\"
\n" ); document.write( "Multiply both sides by \"+20+\"
\n" ); document.write( "(4) \"+20b+%2B+200b+%2B+100b+%2B+100b+=+168000+\"
\n" ); document.write( "(4) \"+420b+=+168000+\"
\n" ); document.write( "(4) \"+b+=+400+\"
\n" ); document.write( "------------------
\n" ); document.write( "(1) \"+a+=+400%2F5+\"
\n" ); document.write( "(1) \"+a+=+80+\"
\n" ); document.write( "-------------------
\n" ); document.write( "(2) \"+c+=+400%2F4+\"
\n" ); document.write( "(2) \"+c+=+100+\"
\n" ); document.write( "-------------------
\n" ); document.write( "(3) \"+d+=+400%2F10+\"
\n" ); document.write( "(3) \"+d+=+40+\"
\n" ); document.write( "-------------------
\n" ); document.write( "There are:
\n" ); document.write( "80 of the 5 rupee notes
\n" ); document.write( "400 of the 10 rupee notes
\n" ); document.write( "100 of the 20 rupee notes
\n" ); document.write( "40 of the 50 rupee notes
\n" ); document.write( "----------------------
\n" ); document.write( "check:
\n" ); document.write( "(4) \"+5a+%2B+10b+%2B+20c+%2B+50d+=+8400+\"
\n" ); document.write( "(4) \"+5%2A80+%2B+10%2A400+%2B+20%2A100+%2B+50%2A40+=+8400+\"
\n" ); document.write( "(4) \"+400+%2B+4000+%2B+2000+%2B+2000+=+8400+\"
\n" ); document.write( "(4) \"+8400+=+8400+\"
\n" ); document.write( "OK\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
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