Conditional Probability (Tree Problem)

There's a problem I can't solve:
At a university, 60% of the students who apply for admission are in-state residents. 30% are from another state, and the remaining applicants are international students. 35% of in-state applicants are admitted, 25% of out of state applicants are admitted, and 20% of international applicants are admitted.

Find the probability that an applicant was an in-state resident, given that they were admitted.

I already made the tree for this problem, it looks like this:

Unless I'm missing something incredibly obvious (which is certainly possible), it looks like what you have should be the answer. What makes you doubt yourself? Does your book/instructor give a different answer? If so, what is that answer?