The ratio of male to female students in a college for five years is plotted in…
2014
The ratio of male to female students in a college for five years is plotted in the following line graph. If the number of female students doubled in 2009, by what percent did the number of male students increase in 2009?
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Correct answer: 140
Answer: 140%
Let the number of female students in 2008 be F.
Using the 2008 ratio (male:female = 2.5), the number of male students in 2008 is 2.5F.
If the number of female students doubled in 2009, female in 2009 = 2F. The 2009 ratio is 3.0, so male in 2009 = 3.0 × 2F = 6F.
Increase in male students = 6F − 2.5F = 3.5F. Percentage increase = (3.5F / 2.5F) × 100% = 140%.
Therefore, the number of male students increased by 140% in 2009.