document.write( "Question 1011559: At acertain school boys represent 21 pupils less than 58% of the total school,and girls represent 3 pupils more than 46%. How many pupils attend the school? \n" ); document.write( "

Algebra.Com's Answer #627256 by ikleyn(52835) $\"\"$ $\"About$

You can put this solution on YOUR website!
.
\n" ); document.write( "At a certain school boys represent 21 pupils less than 58% of the total school,and girls represent 3 pupils more than 46%. How many pupils attend the school?
\n" ); document.write( "---------------------------------------------------------------------\r
\n" ); document.write( "\n" ); document.write( "

\r\n" );
document.write( "Let x be (an unknown) number of pupils in the school.\r\n" );
document.write( "\r\n" );
document.write( "Then the number of boys  is  b = 0.58x - 21.\r\n" );
document.write( "     The number of girls is  g = 0.46 + 3, according to the condition.\r\n" );
document.write( "\r\n" );
document.write( "Obviously, b + g = x, and it gives you an equation\r\n" );
document.write( "\r\n" );
document.write( "0.58x - 21 + 0.46x + 3 = x.\r\n" );
document.write( "\r\n" );
document.write( "Simplify and solve it for x:\r\n" );
document.write( "\r\n" );
document.write( "1.04x - 18 = x,\r\n" );
document.write( "\r\n" );
document.write( "1.04x - x = 18,\r\n" );
document.write( "\r\n" );
document.write( "0.04x = 18,\r\n" );
document.write( "\r\n" );
document.write( "x =  =  = 450.\r\n" );
document.write( "\r\n" );
document.write( "Answer. The number of pupils in the school is 450.\r\n" );
document.write( "

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

\n" );