Firstly: the sentence in this exercise had a missing word
The food is the kitchen.
Secondly: my answer was marked wrong¨
το φαγη ειναι στην κουζινα
I think φαγη and φαγητο are fairly interchangeable, no?
There is no word φάγη. Φαγητό & φαΐ (or φαγί, which is really dialectal and old-fashioned) are the two words for food and they are interchangeable.
Thank you. I've been using φαγη in general conversation for so long I just took it for granted.