jedit wrote:
If y > 0 and x is y percent of y, then, in terms of y, y is what percent of x ?
A - \(\frac{1}{y}\)
B - \(\frac{1}{100y}\)
C - \(100y\)
D - \(\frac{10000}{y}\)
E - \(\frac{1}{10000y}\)
Choosing numbers is probably the easiest approach. Ordinarily, avoid using numbers that are similar to those in the answer choices.
Let y = 20
x is y percent of y
x is 20% of 20
x = .2 * 20
x = 4
y is what percent of x?
\(\frac{y}{x}\) * 100 =
\(\frac{20}{4}\) = 5 * 100 = 500%
We're looking for the answer that yields 500 when y = 20.
A) \(\frac{1}{y}=\frac{1}{20}=.05\)
Much too small. We need 500. Eliminate.
B) \(\frac{1}{100y}=\frac{1}{100(20)}=\frac{1}{2,000}=\)
Even smaller than A. (B =.0005). Eliminate
E) \(\frac{1}{10000y}=\) Even smaller than B.
Not even close to 500. Eliminate
(Typically, scan answers first and eliminate A, B, and E immediately. The fractions have y = 20 in the denominators and 1 on top. Those answers are tiny regardless and tiny when compared to 500.)
C. 100y: too large.
(20 * 100) = 2,000. Eliminate
D. \(\frac{10,000}{y}=\frac{10,000}{20}\) = 500. Correct.
Answer D
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