document.write( "Question 1207394: Sofia has 45 markers and 60 crayons that she wants to put into
\n" ); document.write( "boxes.
\n" ); document.write( "• All the boxes will have an equal number of markers.
\n" ); document.write( "• All the boxes will have an equal number of crayons.
\n" ); document.write( "What is the greatest number of boxes Sofia can make using all
\n" ); document.write( "the markers and crayons? \n" ); document.write( "
Algebra.Com's Answer #845396 by Edwin McCravy(20055)\"\" \"About 
You can put this solution on YOUR website!
\r\n" );
document.write( "\r\n" );
document.write( "Let M = the number of markers in each a box\r\n" );
document.write( "Let C = the number of crayons in each a box\r\n" );
document.write( "Let N = the number of boxes.\r\n" );
document.write( "\r\n" );
document.write( "So N(M+C) must equal the total number of markers and crayons.\r\n" );
document.write( "N(M+C) = NM + NC = 45 + 60, so N must be a factor of both 45 and 60 \r\n" );
document.write( "\r\n" );
document.write( "For N to be as large as possible, it must be the greatest common factor\r\n" );
document.write( "of 45 and 60, which is 15.  \r\n" );
document.write( "\r\n" );
document.write( "N(M+C) = 15M + 15C and 15M=45 and 15C=60, or M=3 and C=4 \r\n" );
document.write( "\r\n" );
document.write( "So there are 15 boxes, with 3 markers and 4 crayons in each box.\r\n" );
document.write( "\r\n" );
document.write( "Edwin
\n" ); document.write( "
\n" );