There are several synonyms for the phrase "ate greedily," including gobbled up, devoured, consumed, wolfed down, and scarfed down. Each of these synonyms implies an animalistic or voracious approach to eating, suggesting a lack of restraint or moderation. Other synonyms for this phrase might include stuffing oneself, pigging out, or binging, each of which suggests a level of excess or indulgence. No matter the specific synonym used, however, the underlying message is clear: someone who ate greedily did so without consideration for their own health or the feelings of those around them.