Let x represent the money he originally had
[tex] \frac{1}{2} [/tex]x = [tex] \frac{1}{3} [/tex]x + 5
[tex] \frac{1}{2} [/tex]x - [tex] \frac{1}{3} [/tex]x = 5
[tex] \frac{3}{6} [/tex]x - [tex] \frac{2}{6} [/tex]x = 5
[tex] \frac{1}{6} [/tex]x = 5
x = 30
Answer: $30
