Plural of bagful; the amount that fills multiple bags.
Compound of 'bag' (Old English 'bagge', from Old Norse 'baggi') plus 'full' (Old English 'full'), with the standard plural '-s' suffix added. The 'ful' suffix indicates a container's capacity.
English loves creating flexible measurements—bagfuls, cupfuls, handfuls—all measuring 'as much as a container can hold' rather than precise amounts. This is why we sometimes see them spelled as 'bagsful' (plural before the 'ful') showing that speakers instinctively treat 'bag' as the countable noun.
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