The ratio of the number if boys and girls in a school is 3:2
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 and .
That means ths of the students are boys and ths of the students are
girls.
Change those to percents:
,
So 60% of the students are boys and 40% of the students are girls.
20% of the boys and 25% of the girls are scholarship holders
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