Magic cores.
Magic cores were cores that were formed by the magic beasts and it was basically used by them to store their magic. Lower ranked magic beasts couldn't use magic well and the core was usually non elemental. But after rank 3, these magic beasts could use magic and their cores also changed colors.
The magic beasts at rank 1 and 2 could be found easily around the field not far from Wansu City. If they wanted to, they could actually hunt those when they were still in the academy.
Back then, Silas did bring Aya and the others to hunt.
But they only targeted rank 1 magic beast, which was stupid and easy to hunt. Of course, the main reason for them to hunt these was to eat.
Magic beasts ranking was similar to mana's ranking.
So for mage and magic warriors who could use third rank magic, they were more or less evenly matched with rank 3 magic beasts.
Of course, this was only tentative.