Students were selected for a institution as follows. For category [[$ A $]] students, [[$ 48 $]] girls were selected out of [[$ 300 $]] applicants and [[$ 3 $]] boys out of [[$ 20 $]] applicants. For category [[$ B $]] students, [[$ 4 $]] girls out of [[$ 20 $]] applicants and [[$ 114 $]] boys out of [[$ 600 $]] applicants were chosen. Prove that in both categories of students, the acceptance rate of girls was [[$ 1 $]] percentage point higher. (Source: Finnish matriculation exam, spring 1995)

Category [[$ A $]]:

The acceptance rate of girls:

[[$ \% $]]

The acceptance rate of boys:

[[$ \% $]]

Category [[$ B $]]:

The acceptance rate of girls:

[[$ \% $]]

The acceptance rate of biys:

[[$ \% $]]

Conclusion:


In total, girls applied to the institution, of which were accepted. Similarly, boys applied, of which were accepted.

The acceptance rate of girls:

[[$ \% $]]

The acceptance rate of boys:

[[$ \% $]]

Conclusion: