Question 978652
The ratio of the number if boys and girls in a school is 3:2
<pre>
To change a ratio to two fractions, put each number, 3 and 2, over the sum of
the two numbers 3+2, or 5. So the two fractions are {{{3/5}}} and {{{2/5}}}.

That means {{{3/5}}}ths of the students are boys and {{{2/5}}}ths of the students are
girls.

Change those to percents:

{{{3/5=60/100="60%"}}}, {{{2/5=40/100="40%"}}}

So 60% of the students are boys and 40% of the students are girls.
</pre>
20% of the boys and 25% of the girls are scholarship holders
<pre>
That means 20% of 60% are boy scholarship holders and 25% of 40% are girl scholarship holders.

Therefore:

20% of 60% = (0.20)(0.60) = 0.12 = 12% of the students are boy scholarship
holders, 

and

25% of 40% = (0.25)(0.40) = 0.10 = 10% of the students are girl scholarship
holders. 

That means that 12% + 10% = 22% of the students are scholarship holders.

Therefore 100% - 22% = 78% of the students are not scholarship holders.

Edwin</pre>