I assume you would like to know the cost of her perm and haircut, so thats what I will answer.
She needs $5 for lunch, and er perm will cost twice as much as her haircut. We have $45 left, so we can divide it by three (because the perm will cost twice as much as the haircut, as this why we can figure out how much that is) 45รท3 is 15.
So now we know her haircut will cost $15 and her perm will cost $30.