The correct answers are: He has a few carrots left, so he can make a small side salad. There is little hope for this soup because he accidentally burned the garlic.

A few is used with plural countable nouns (like carrots) and means "some" or a small positive amount.

Little is used with uncountable nouns (like hope) and has a negative meaning, meaning "almost none" or "not enough."

Incorrect options explained:

"Onions" is a countable noun, so it should take "a few," not "a little."

"Time" is an uncountable noun, so it should take "little," not "few."