If Jana wins the contest, she will get two movie tickets, and if she gets two movie tickets, she will take her mother to the movies.
If you think about this deductively, and if you have the knowledge of syllogisms, this won't be difficult to solve.
So, this is the conclusion:
If Jana wins the contest, then she will take her mother to the movies.
This is the conclusion given that if she wins the contest, she will get the tickets she needs to take her mother to the movies. Otherwise, that won't happen.