This is another problem for you since otra is used for both in Spanish. The answer from the dictionary explains it very well. Even when we say I want another ,for example, if you are asked , Would you like another drink and you answer, "yes, I'd like another (one) the one is always implied.

Hey.

You use other to refer to more than one type of person or thing. (Other boys were arriving now. )

When you are talking about two people or things and have already referred to one of them, you refer to the second one as the other or the other one.

When you are talking about several people or things and have already referred to one or more of them, you usually refer to the remaining ones as the others.

Another person or thing means one more person or thing of the same kind. It is usually followed by a singular count noun, 'one', 'few', or a number larger than one. (Rick's got another camera... )

Haha ,copied from dictionary,hope it can help you.

Hi there

When using the word "Other" it used in such ways as "i have other friends" Or "other than myself". Just its basically used to refer to items or people. When using the word 'Another' Is used in such ways as "Could i have another cup of coffee?".

I hope this helps :D

Good Luck