<PRE><B>Question 967599</B>
 In the group of students who voted in a Year 9 school leader election, the ratio of girls to boys is 2 : 3.
Let x = the multiplier
then
2x = no. of girls
and
3x = no. of boys
also
5x = total students
:
 If 10 more girls and 5 more boys had voted, the ratio would have been 3 : 4.
{{{((2x+10))/((3x+5))}}} = {{{3/4}}}
Cross multiply and find x
3(3x+5) = 4(2x+10)
9x + 15 = 8x + 40
9x - 8x = 40 - 15
x = 25 is the multiplier
:
 How many students voted altogether?
5(25) = 125 total students</PRE>