Explanation
So, just from the question it's maybe not totally obvious
what the data statements are going to give us, but we know that we have a
salary, a withholding, and a salary after withholding, which we will think of
as an "effective" salary and write,
. (we figure, why use
variables such as x and y when you don't have to, because doing
so will only generate the opportunity to forget what the variables stand for
later). For Maria, we have the same thing, but, as far as we know, all the
variables are different. So we might write Maria's equation as
. Very well - on to the data statements, evaluating
them separately first, as always.
Statement (1) gives us a couple pieces of comparative
information. For Angela,
. For Maria,
. But we have a situation with four variables and
two equations. If we could construct a ratio of
and determine
whether it was greater or less than 1, that would allow us to answer who has
the bigger effective salary, but we have no information about how S and
compare.
So this statement is insufficient.
Statement (2) is similar--we have way more variables than
equations, and no way of establishing a direct comparison such as a ratio.
Insufficient.
With the statements together, we may have something,
because we believe we have four distinct equations and four variables. We'll
confirm this by writing out the equations:
The first and third equation allow us to determine E. The second and fourth equation allow
us to determine
. We'll then be able to compare them directly. So,
together, we have sufficient data to answer the question.
The correct answer is (C).
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