Explanation
If we have D divisions
that have each pledged a contribution of C
dollars, then the question here is telling us that
. We have a single equation with two variables, so
we might get sufficiency in the form of another equation. On to the statements,
separately first.
Statement (1) tells us that
so we can
solve for D. Sufficient.
Statement (2) tells us that
. This is a separate equation, but it's not linear,
because C and D get multiplied together, so the n variables, n equations
rule doesn't apply. To double-check that we can solve it, we'll write out
Substituting
:
We can then substitute
and divide by
10,000:
And since D must
be positive, D equals 8. We also note
that we have not stumbled across a contradiction with Statement (1). We have a
unique value for (D), so Statement (2) is sufficient.
The correct answer is (D).
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