Look into deep cycle sealed lead acid batteries. These will have an amp hour rating. Since they are 12V, you multiply by 12 to get a Watt Hour rating. For example, a 35AH battery is 420 Watt Hours. If you music system uses 50W this would last about 8 hours ideally. But an inverter is going to be no more than 90% efficient, so maybe 7 hours. And furthermore, the ratings of this type of battery are for discharge over 20 hours. Faster discharge rates will reduce the available energy, so maybe 4 hours. If the music system required 100W it would be more like 2 hours.
Bob