A pénztáros a sajtot is külön zacskóba teszi.

A is the Hungarian definite article, meaning the.

So:

• a pénztáros = the cashier
• a sajtot = the cheese (with object marking on sajt)

Hungarian uses the definite article separately before each definite noun phrase, just like English often does.

Also, Hungarian has two forms of the definite article:

• a before a consonant
• az before a vowel

So here it is a, because pénztáros and sajt begin with consonants.

Because sajtot is the accusative form, used for the direct object.

The cheese is the thing the cashier is putting somewhere, so it takes object marking:

• sajt = cheese
• sajtot = cheese (as a direct object)

The main object ending is -t, but Hungarian often inserts a linking vowel before it. That is why you get sajtot, not just sajtt.

Is usually means also, too, or as well.

So a sajtot is means:

• the cheese too
• the cheese as well

It suggests that something else is also being put into a separate bag, and the cheese is included in that list.

Depending on context, is can sometimes feel a bit like even, but also/too is the safest meaning here.

In Hungarian, is usually comes after the word or phrase it belongs to.

So:

• a sajtot is = the cheese too

This is very normal in Hungarian. English puts also/too in a different place, but Hungarian usually attaches is after the relevant element.

Also notice that it comes after the fully inflected form:

• sajt
• sajtot
• sajtot is

The case ending stays on the noun, and is comes after that.

Külön means separate, separately, or apart.

In this sentence, külön zacskóba means something like:

• into a separate bag
• into its own bag
• separately, in another bag

So the idea is not just that the cheese is bagged, but that it is bagged apart from the other items.

Because Hungarian usually expresses meanings like into, in, from, and so on with suffixes, not separate words.

Here:

• zacskó = bag
• -ba = into

So:

• zacskóba = into a bag

This ending is called the illative case, used for movement into something.

This is due to vowel harmony, a very important Hungarian pattern.

The suffix meaning into has two forms:

• -ba
• -be

Nouns with mostly back vowels usually take -ba. Nouns with mostly front vowels usually take -be.

Since zacskó contains back vowels, it takes:

• zacskóba

A front-vowel example would be:

• szekrénybe = into the cupboard

Hungarian often leaves the noun indefinite in expressions like this, where English would naturally say into a separate bag.

So külön zacskóba teszi is a normal way to say:

• puts it into a separate bag

You could also say:

• egy külön zacskóba teszi

That makes the a/one more explicit. Both are possible, but the version without egy is very natural.

Teszi is the verb tesz (to put, to place, to do) in the 3rd person singular definite form.

Hungarian verbs have two main conjugation patterns:

• indefinite
• definite

Here the object is definite:

• a sajtot = the cheese

So the verb uses the definite form:

• teszi = he/she/it puts it

Compare:

• tesz = he/she puts something
• teszi = he/she puts it / puts the specific thing

That is why teszi is used here.

Because it is the subject, and the basic subject form in Hungarian usually has no ending.

So:

• pénztáros = cashier
• a pénztáros = the cashier

Hungarian often leaves the subject in its plain dictionary form, while the object and other roles get suffixes:

• pénztáros = subject
• sajtot = object
• zacskóba = destination / into the bag

No. Hungarian word order is quite flexible, and it often reflects topic and emphasis rather than strict grammatical roles.

In this sentence:

• A pénztáros is the topic: we are talking about the cashier.
• a sajtot is highlights that the cheese too is included.
• külön zacskóba teszi tells what happens to it.

So the sentence feels like:

• As for the cashier, she also puts the cheese into a separate bag.

Other word orders are possible, but they would shift the emphasis. Hungarian word order is not random, but it is much more flexible than English.