document.write( "Question 503460: There are 2430 people in a school. There are 162 teachers and 156 more boys than girls. How many girls are there?
\n" ); document.write( " \n" ); document.write( "

Algebra.Com's Answer #339253 by Maths68(1474) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let
\n" ); document.write( "Teachers = t = 162
\n" ); document.write( "Boys = b = ?
\n" ); document.write( "Girls = g = ?
\n" ); document.write( "Total number of people in school = t+b+g
\n" ); document.write( "2430=162+b+g .........(1)
\n" ); document.write( "156 more boys than girls means
\n" ); document.write( "b=g+156.................(2)
\n" ); document.write( "Put the value of b in (1) we have
\n" ); document.write( "2430=162+(g+156)+g
\n" ); document.write( "2430=162+(g+156)+g
\n" ); document.write( "2430=318+2g
\n" ); document.write( "2430-318=2g
\n" ); document.write( "2430-318=2g
\n" ); document.write( "2112=2g
\n" ); document.write( "Divide by 2 both sides of above equation
\n" ); document.write( "2112/2=2g/2
\n" ); document.write( "1056=g
\n" ); document.write( "g=1056
\n" ); document.write( "Put the value of g in (2)
\n" ); document.write( "b=g+156.................(2)
\n" ); document.write( "b=1056+156
\n" ); document.write( "b=1212\r
\n" ); document.write( "\n" ); document.write( "Teachers = 162
\n" ); document.write( "Girls = 1056
\n" ); document.write( "Boys = 1212\r
\n" ); document.write( "\n" ); document.write( "Total number of people in school = t+b+g
\n" ); document.write( "2430=162+1212+1056
\n" ); document.write( "2430=2430 \n" ); document.write( "

\n" );