У неё были синие следы мела на ладошке, но она была очень довольна.

Russian usually expresses possession with the pattern у + genitive + есть / был / были rather than with a verb like to have.

So:

• У неё были синие следы мела... = She had blue chalk marks...
• literally: At her, there were blue chalk marks...

Here:

• у = by / at
• неё = genitive of она
• были = were

Using иметь (to have) is possible in Russian, but it is much less common in everyday speech for ordinary possession.

Because у requires the genitive case.

The pronoun она changes like this:

• она = she
• её / неё = her
• у неё = at her / she has

The form неё appears after many prepositions. Compare:

• Я вижу её. = I see her.
• Я говорю о ней. = I am talking about her.
• У неё были... = She had...

The initial н- is commonly added to forms of third-person pronouns after prepositions.

Because the verb agrees with different subjects.

In:

• У неё были синие следы мела...

the grammatical subject is следы (marks / traces), which is plural, so the verb is были.

In:

• ...но она была очень довольна.

the subject is она (she), which is singular feminine, so the verb is была.

So the agreement is:

• следы → были
• она → была

Синие is the adjective blue agreeing with следы.

Since следы is:

• plural
• nominative

the adjective must also be:

• plural
• nominative

So:

• синий след = a blue mark
• синие следы = blue marks

This is standard adjective-noun agreement in Russian.

Not necessarily. След has a broad meaning: trace, mark, sign, imprint, stain-like trace.

In this sentence, синие следы мела means something like:

• blue chalk marks
• blue traces of chalk
• blue chalk smudges

So here следы does not mean literal footprints. It means visible marks left on the skin.

Because Russian often uses the genitive case to mean of.

So:

• следы мела = marks of chalk / chalk marks

Here:

• следы = marks
• мела = genitive singular of мел (chalk)

This is a very common structure:

• стакан воды = a glass of water
• кусок хлеба = a piece of bread
• следы мела = traces of chalk

Because мел is being treated as a substance/material, not as separate countable pieces.

So следы мела means:

• marks made by chalk
• traces of chalk as a material

This is similar to English a bit of chalk or chalk dust, where the material is not counted item by item.

Ладошка is a diminutive form of ладонь.

So:

• ладонь = palm of the hand
• ладошка = little palm / palm, with a softer or more affectionate tone

In many contexts, Russian uses diminutives very naturally, especially when talking about:

• children
• body parts in a tender way
• something small or cute
• a warm, vivid image

So на ладошке sounds softer and more expressive than на ладони.

Both can be translated simply as on her palm.

Because after на meaning on in a location sense, Russian uses the prepositional case.

Base form:

• ладошка

Prepositional singular:

• на ладошке

Compare:

• на столе = on the table
• на руке = on the hand/arm
• на ладошке = on the palm

If motion onto something were meant, Russian might use the accusative instead, but here it is location: the marks were already on her palm.

Because Russian often uses the short form of adjectives after to be when describing a temporary state or predicative meaning.

So:

• она была довольна = she was pleased / satisfied

The short form here is:

• masculine: доволен
• feminine: довольна
• neuter: довольно
• plural: довольны

The full form довольная is also an adjective, but it is more often used attributively, before a noun:

• довольная девочка = a pleased girl

So in this sentence, была довольна is the normal choice.

It means very pleased, very happy, or very satisfied, depending on context.

• очень = very
• довольна = pleased / satisfied

So:

• она была очень довольна = she was very pleased

It suggests that despite having chalk marks on her palm, she felt happy about the situation.

Yes, Russian can sometimes omit subject pronouns when they are obvious from context, especially in informal speech.

So you might also hear:

• У неё были синие следы мела на ладошке, но была очень довольна.

However, keeping она makes the sentence clearer and more natural in many written contexts. It also helps emphasize the contrast:

• she had chalk marks on her palm,
• but she was very pleased.

So the explicit она is perfectly natural here.

Russian word order is flexible, but the chosen order sounds natural and neutral.

Current sentence:

• У неё были синие следы мела на ладошке, но она была очень довольна.

This presents the information smoothly:

1. possession/state: she had...
2. what she had: blue chalk marks
3. where: on her palm
4. contrast: but she was very pleased

You could rearrange parts for emphasis, but the meaning would stay similar. For example:

• На ладошке у неё были синие следы мела...

This would emphasize on her palm more strongly.

Yes. Но is the ordinary Russian word for but.

It introduces a contrast:

• She had blue chalk marks on her palm,
• but she was very pleased.

So the sentence implies that the marks might look messy or undesirable, yet she was happy anyway.

Sometimes in context, yes, but not literally.

A more direct translation is:

• chalk marks
• traces of chalk
• chalk smudges

Chalk dust would be more like меловая пыль. But in natural English, if the context is about a child drawing or writing, a translator might choose a freer phrase like chalk all over her palm.

So следы мела does not literally mean dust, but the overall image may overlap in some contexts.