If one member of the family eats, the rest of the family will be happy for him or her and won't be hungry.

解释 ( paraphrase )
一个人吃饱了，全家人就都不会挨饿。
这条谚语是指光棍或者独居的人，这样家里只有一人，所以一人吃饱，全家不饿了。

This proverb refers to a person who is single. Without other family members to provide for, the person being full is the same as the family being full.

同义词 ( synonym )
一人吃饱，全家不饿

造句 ( example )
还是单身好,什么都无所谓,一人吃饱全家不饿.