Answer:
The number of girls in German club are [tex]\frac{n}{15}[/tex].
Step-by-step explanation:
Consider the provided information.
[tex]\frac{2}{5}[/tex] of n are boys.
Thus the number of girls are: [tex]\frac{3n}{5}[/tex].
1/3 of the girls in the club study Spanish.
Girls studying Spanish = [tex]\frac{3n}{5}\times\frac{1}{3}=\frac{n}{5}[/tex]
That means now total number of girl left: [tex]\frac{3n}{5}-\frac{n}{5}=\frac{2n}{5}[/tex]
5/6 of the remaining girls study French.
Girls studying French = [tex]\frac{2n}{5}\times\frac{5n}{6}=\frac{n}{3}[/tex]
That means now total number of girl left: [tex]\frac{2n}{5}-\frac{n}{3}=\frac{n}{15}[/tex]
The rest of the girls in the club study German.
Hence, the number of girls in German club are [tex]\frac{n}{15}[/tex].
