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07 Aug 2012, 05:51
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D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
25%
(medium)
Question Stats:
80% (01:56) correct
20%
(02:09)
wrong
based on 357
sessions
History
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A publishing company produced a record high of 180 books today. In the 9 days prior to today, the same publishing company had produced an average (arithmetic mean) of x books per day. If today’s record high increased average daily production to y books per day, what is x in terms of y?
A) \(\frac{9y+180}{10}\)
B) \(\frac{10y+180}{9}\)
C) \(\frac{9y-180}{9}\)
D) \(\frac{10y-180}{9}\)
E) \(\frac{10y}{9}-10\)
A) \(\frac{9y+180}{10}\)
B) \(\frac{10y+180}{9}\)
C) \(\frac{9y-180}{9}\)
D) \(\frac{10y-180}{9}\)
E) \(\frac{10y}{9}-10\)
07 Aug 2012, 06:04
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superpus07
In the 9 days prior to today, the publishing company produced total of \(9x\) books.
Total books produced in 9+1=10 days is \(180+9x\).
Since we are told that the average daily production for these 10 days was \(y\), then \(y=\frac{180+9x}{10}\). Solving for \(x\) gives: \(x=\frac{10y-180}{9}\).
Answer: D.
Or: say \(x=0\), then in the 9 days prior to today, the publishing company produced total of \(9x=0\) books. So, we'll have that \(y=\frac{180+0}{10}=18\).
Now, plug \(y=18\) into the answer choices to see which one yields 0. Only answer choices D works: \(\frac{10*18-180}{9}=0\).
Answer: D.
Note that for plug-in method it might happen that for some particular number(s) more than one option may give "correct" answer. In this case just pick some other numbers and check again these "correct" options only.
Hope it helps.
07 Aug 2012, 06:39
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Bunuel
Thanks.. I'm wondering what approach you have when picking smart numbers? How do you quickly choose a good one. For this question there are so many that yields a non-integer for the plug-in number. Are there cases where you can see that it is safe to use zero as a smart number compared to cases where using zero will not work?
