document.write( "Question 967599: In the group of students who voted in a Year 9 school leader election, the ratio of girls to boys is 2 : 3. If 10 more girls and 5 more boys had voted, the ratio would have been 3 : 4. How many students voted altogether?
\n" ); document.write( " \n" ); document.write( "

Algebra.Com's Answer #591473 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

You can put this solution on YOUR website!
In the group of students who voted in a Year 9 school leader election, the ratio of girls to boys is 2 : 3.
\n" ); document.write( "Let x = the multiplier
\n" ); document.write( "then
\n" ); document.write( "2x = no. of girls
\n" ); document.write( "and
\n" ); document.write( "3x = no. of boys
\n" ); document.write( "also
\n" ); document.write( "5x = total students
\n" ); document.write( ":
\n" ); document.write( " If 10 more girls and 5 more boys had voted, the ratio would have been 3 : 4.
\n" ); document.write( " $\"%28%282x%2B10%29%29%2F%28%283x%2B5%29%29\"$ = $\"3%2F4\"$
\n" ); document.write( "Cross multiply and find x
\n" ); document.write( "3(3x+5) = 4(2x+10)
\n" ); document.write( "9x + 15 = 8x + 40
\n" ); document.write( "9x - 8x = 40 - 15
\n" ); document.write( "x = 25 is the multiplier
\n" ); document.write( ":
\n" ); document.write( " How many students voted altogether?
\n" ); document.write( "5(25) = 125 total students \n" ); document.write( "

\n" );