If someone wanted to run away and needed to change their appearance and still have money for food for clothes and food, how much would that cost ruffly?

I would probably say anywhere from $30 - $35.

You can find a lot of things for cheap, at like the dollar store and goodwill.

All you would really need to do, is change the style of your hair (maybe even the color.)

I'm sure you could cut your hair yourself if your willing to,if not, cutting you hair is not completely necessary. But changing the color might be helpful.
$10

If you wear glasses try not to wear them.
If you do not wear glasses, buy a fake pair, at like the dollar store or goodwill.
+ $1 to $3

Clothes 
$20

Before you leave you might want to stop by the dollar store or goodwill, both stores have a lot of great things for really cheap! At the Goodwill you can but a TON of clothes for super cheap.

I hope this helps! :) 

And Good Luck!