Hi,
Most standard size adult quail eat only a few ounces per day. However they have a tendency to waste their food by knocking it out of their feeder and it drops through the floor of the cage (assuming you have a wire floor in your cage). I favor a chick feeder since it has small holes for access and prevents knocking out too much food. Always keep food in the feeder. I usually refill the feeder once per day, before it gets empty. Always have adequate amounts of fresh water available and remove any droppings that might find their way into it.
Game bird crumbles is a good choice for quail feed. There are several types but you should choose one with no less than 20% protein. Turkey starter and grower crumbles is also an acceptable substitute. I also feed small amounts of meal worms and garden produce. Remove any uneaten produce after an hour or so. No need to give them too much since they sometimes lose interest in it. Captive quail of all varieties will thrive on a good game bird crumble diet. Provide treats for them daily. You will soon find the fruits and produce they like. They will see you coming with treats and peck it from your fingers when offered to them. My Coturnix quail do, at least.
Best of luck,