I think the OP may be one of those kids who hate doing "word problems" in math, and associates applied math with doing word problems.
Well, yes, doing applied math entails being able to do word problems, but you do not escape doing word problems by doing pure math.
More to the point: if you're majoring in math, and all the more so if you're doing pure math, you'll spend a good chunk of your time writing proofs. These are not the highly structured proofs from your high school geometry days, where each step is written out, numbered, and justified with a postulate or previously proved theorem, but the kind of several-paragraph proofs you see in your calculus text. See
http://math.caltech.edu/~nets/lecture9.pdf for some examples.
If you don't love doing that, you're not going to enjoy being a math major.