Английский словарь американских идиом - eat up

{v.} 1. To eat all of. * /After hiking all afternoon, they quickly ate up all of the dinner./ 2. To use all of. * /Idle talk had eaten up the hour before they knew it./ 3. {slang} To accept eagerly; welcome. * /The girls told John he was a hero because he made the winning touchdown, and he ate up their praise./ * /Jim told Martha that she was as smart as she was beautiful and Martha ate it up./