A simple equation to keep in mind is the ten to one inefficiency of an inverter. If you want one amp of 120volt a/c power, it takes 10amps of 12volt dc battery power to produce it. Another draw on your house batteries is just leaving your inverter on in idle mode will draw amperage from your house batteries. Common problem is folks put there coach back in storage and forget to turn the inverter/charger OFF and come back to a coach with dead batteries. Never a good idea to discharge your deep cycle batteries more than 50% of their capacity.
Blessings, Fred