
zusammen
together
Together with one or more other people; in company.
Wir wollen am Wochenende zusammen kochen.
We want to cook together on the weekend.
together
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together
Together with one or more other people; in company.
Wir wollen am Wochenende zusammen kochen.
We want to cook together on the weekend.

in total
Indicates a sum or total amount; altogether.
Das macht dann zusammen 25 Euro, bitte.
That comes to 25 euros in total, please.

to be together
To be in a steady romantic relationship with each other.
Anna und Paul sind schon seit drei Jahren zusammen.
Anna and Paul have been together for three years already.
'Zusammen' (together) can serve as a separable prefix for many verbs and then means that the action is carried out together. Examples are 'zusammenarbeiten' (to work together), 'zusammenfassen' (to summarize), or 'zusammenleben' (to live together).
Können Sie die wichtigsten Punkte bitte zusammenfassen?
Could you please summarize the most important points?
In the meaning 'in total', 'zusammen' is almost always used in the context of bills, prices, or counting things. The question 'Zusammen oder getrennt?' (Together or separate?) is typical in restaurants.
Die Getränke kosten zusammen 12,50 Euro.
The drinks cost 12.50 euros in total.
The phrase 'zusammen sein' (to be together) means to be in a romantic relationship. It does not only describe being in the same place.
Wie lange seid ihr beiden eigentlich schon zusammen?
How long have you two actually been together?
overall
With several amounts, both zusammen and insgesamt can work. Zusammen draws attention to adding up the individual amounts, while insgesamt emphasizes the result or the total amount. Use zusammen when you are calculating and insgesamt when you are summarizing the completed total.

Die beiden Fahrkarten kosten zusammen 24 Euro.
The two tickets cost 24 euros together.
Für die beiden Fahrkarten bezahlen wir insgesamt 24 Euro.
We are paying a total of 24 euros for the two tickets.