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Much, many, and a lot are quantifiers that all mean ‘a large amount of’. The main difference between these words is that we can use much with uncountable nouns, many with plural countable nouns, and a lot with both types of nouns.
We mostly use much and many in negative sentences and questions.
We use much with uncountable nouns.
Examples:
How much money do you have?
Louis can’t speak much Spanish.
We use many with countable plural nouns.
Examples:
How many children do they have?
Louis doesn’t know many Spanish words.
We can use much and many in positive sentences after words like so, too, and as. (A lot is not possible after so, too, and as).
Examples:
As usual she has made too many cakes.
Take as much time as you need.
We had so much fun at the party.
Much and many can stand alone in positive sentences, but only in a formal style. Be careful! This is not typical in everyday English, and can sound strange in informal contexts.
Examples:
Much has been said about ...
Many politicians believe ...
A lot
A lot and lots of are the most flexible quantifiers in English: we can use them in positive sentences with countable and uncountable nouns. They have the same meaning, but a lot of is more common.
Examples:
They have met lots of people.
They have a lot of friends.
I have a lot of money.
I have a lot of time.
Although it is possible to use a lot/lots of in negative sentences and questions, it is more common to use much and many.
Example:
Do you know many people in your neighbourhood? ↔ Do you know lots of people in your neighbourhood?
https://english.lingolia.com/en/vocabulary/confusing-words/much-many-a-lot-of