document.write( "Question 1024616: System of Linear Equation question : there are 8173 students in a college such that the number of girls is 421 more than the number of boys. How many of each are there ? \n" ); document.write( "

Algebra.Com's Answer #640015 by ikleyn(52781) $\"\"$ $\"About$

You can put this solution on YOUR website!
.
\n" ); document.write( "System of Linear Equation question : there are 8173 students in a college such that the number of girls is 421 more than the number of boys. How many of each are there ?
\n" ); document.write( "~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "

\r\n" );
document.write( "g + b = 8173,   (1)\r\n" );
document.write( "g - b =  421.   (2)\r\n" );
document.write( "\r\n" );
document.write( "Every time when you see two equations like these, add them. In your case you get\r\n" );
document.write( "\r\n" );
document.write( "2g = 8173 + 421,   or\r\n" );
document.write( "\r\n" );
document.write( "2g = 8594.\r\n" );
document.write( "\r\n" );
document.write( "Hence, g =  = 4297.\r\n" );
document.write( "\r\n" );
document.write( "There are 4297 girls in the college.\r\n" );
document.write( "\r\n" );
document.write( "Now, from (1), b = 8173 - g = 8173 - 4297 = 3876.\r\n" );
document.write( "\r\n" );
document.write( "Answer. 4297 girls and 3876 boys.\r\n" );
document.write( "

\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );