document.write( "Question 959348: Some boys shared 455 stamps among themselves.1/2 of them received 5 stamps each 1/8 of them received 6 stamps each and the rest received 3 stamps each. How many boys are they altogether? \n" ); document.write( "
Algebra.Com's Answer #586403 by josmiceli(19441)\"\" \"About 
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Let \"+n+\" = the total number of boys
\n" ); document.write( "\"+455+\" = the number of stamps
\n" ); document.write( "-----------------------------------
\n" ); document.write( "1/2 of them received 5 stamps each
\n" ); document.write( "\"+%28+n%2F2+%29%2A5+\" is that number of stamps
\n" ); document.write( "-----------------------------------
\n" ); document.write( "1/8 of them received 6 stamps each
\n" ); document.write( "\"+%28n%2F8%29%2A6+\" is that number of stamps
\n" ); document.write( "-----------------------------------
\n" ); document.write( "The rest received 3 stamps each
\n" ); document.write( "\"+%28+n+-+n%2F2+-+n%2F8+%29%2A3+\" is that number of stamps
\n" ); document.write( "-------------------------------------------
\n" ); document.write( "Now I can say:
\n" ); document.write( "\"+%28n%2F2%29%2A5+%2B+%28n%2F8%29%2A6+%2B+%28+n+-+n%2F2+-+n%2F8+%29%2A3+=+455+\"
\n" ); document.write( "\"+%28+5%2F2+%29%2An+%2B+%28+3%2F4+%29%2An+%2B+%28+9%2F8+%29%2An+=+455+\"
\n" ); document.write( "Multiply both sides by \"+24+\"
\n" ); document.write( "\"+12%2A5%2An+%2B+3%2A6%2An+%2B+3%2A9%2An+=+10920+\"
\n" ); document.write( "\"+60n+%2B+18n+%2B+27n+=+10920+\"
\n" ); document.write( "\"+105n+=+10920+\"
\n" ); document.write( "\"+n+=+104+\"
\n" ); document.write( "There are 104 boys altogether
\n" ); document.write( "check:
\n" ); document.write( "1/2 of them received 5 stamps each
\n" ); document.write( "\"+%28+n%2F2%29%2A5+=+52%2A5+\"
\n" ); document.write( "\"+52%2A5+=+260+\"
\n" ); document.write( "---------------------------------
\n" ); document.write( "1/8 of them received 6 stamps each
\n" ); document.write( "\"+%28+n%2F8+%29%2A6+=+%28+104%2F8+%29%2A6+\"
\n" ); document.write( "\"+%28+104%2F4+%29%2A3+=+26%2A3+\"
\n" ); document.write( "\"+26%2A3+=+78+\"
\n" ); document.write( "---------------------
\n" ); document.write( "The rest received 3 stamps each
\n" ); document.write( "\"+%28+3%2F8+%29%2An%2A3+=+%28+3%2F8+%29%2A104%2A3+\"
\n" ); document.write( "\"+%28+9%2F8+%29%2A104+=+117+\"
\n" ); document.write( "------------------------
\n" ); document.write( "\"+260+%2B+78+%2B+117+=+455+\"
\n" ); document.write( "\"+455+=+455+\"
\n" ); document.write( "OK\r
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