energy

help? off farm food cart idea but run by battery.

wondering if someone can help or point to a basic resource on using battery power. wanting to do small food cart for off farm income (live very close to a college entertainment district). wondering if can use battery power to run just light strings, speakers (maybe) and a toaster oven. will be a cheesecrisp stand. am thinking to use a high capacity 12v battery and an inverter like used in a car and then just plug the stuff in. should that work? how to figure how long the setup could run on the battery? hope to solar recharge; i imagine that would be simple. thanks