Explanation

In this question, we have a typical word problem. Where it can get confusing is what unit we are talking about or should assign variables to--specials, or nights? Or attendees, for that matter? Regardless, we aren't given enough information to express an equation. So let's go to the data statements, evaluating them separately at first.

Statement (1), at first blush, looks rather close to what the question is asking of us. But it gives the percentage who booked the two-night package, not the number, and we don't have the total number of attendees. So Statement (1) is insufficient.

Statement (2)--viewed independently, of course--tells us the total number of nights, but nothing about the number of attendees or anything else. By analysis by cases, there could be 132 1-night packages, or 66 two-night packages, or all kinds of cases in between. Insufficient.

So we must combine the statements. Since we are dealing in nights in Statement (2), let's form an equation for the total number of nights. If n is the number of one-night packages, and t is the number of two-night packages, then the number of nights booked is . Also, translating Statement (1) into the language of these new variables, we have . We have two equations and two variables. From the different nature of the data statements, we can be confident that the two equations are distinct (they are logically dissimilar), though we could confirm it by manipulating the second equation and comparing to the first. By the n variables, n equations rule, we will be able to solve for the variables.

The correct answer is (C).