14. Tegwen has the same number of brothers as she has sisters. Each one of her brothers has $50 \%$ more sisters than brothers.
How many children are in Tegwen's family?
A 5
B 7
C 9
D 11
E 13
14. D Let there be $g$ girls and $b$ boys in Tegwen's family. Then, as she has the same number of brothers as she does sisters, $b=g-1$. Also, each of her brothers has $50 \%$ more sisters than brothers. Therefore $g=\frac{3}{2}(b-1)$. So $b+1=\frac{3}{2}(b-1)$ and hence $2 b+2=3 b-3$. Rearranging this equation gives $b=5$. So $g=5+1=6$. Therefore there are $5+6=11$ children in Tegwen's family.