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In 1977, if twice as many anesthesiologists as orthopedists

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In 1977, if twice as many anesthesiologists as orthopedists [#permalink] New post 09 Jun 2018, 08:23
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In 1977, if twice as many anesthesiologists as orthopedists were sued for malpractice and 10 percent of the orthopedists were sued, approximately what percent of the anesthesiologists were sued?

(A) 5%

(B) 9%

(C) 18%

(D) 22%

(E) 25%
[Reveal] Spoiler: OA

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Re: In 1977, if twice as many anesthesiologists as orthopedists [#permalink] New post 09 Jun 2018, 11:42
Carcass wrote:
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physicians.jpg


In 1977, if twice as many anesthesiologists as orthopedists were sued for malpractice and 10 percent of the orthopedists were sued, approximately what percent of the anesthesiologists were sued?

(A) 5%

(B) 9%

(C) 18%

(D) 22%

(E) 25%


Carcass : answer explanation plz.
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Re: In 1977, if twice as many anesthesiologists as orthopedists [#permalink] New post 27 Jun 2018, 02:57
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From the bar graph total number of orthopedics are \(12.3 * 1000 = 12300\)
Among them 10 percent were sued hence the number of orthopedics that were sued is \(\frac{10}{100}\) * \(12300 = 1230\)

From the question, twice as many anesthesiologists as orthopedics were sued. Therefore total number of anesthesiologists that were sued = \(1230 * 2 = 2460\)
Total number of anesthesiologists can be obtained from the pie chart (3.3%) = \(\frac{3.3}{100}\) \(* 421300 = 13902.9\)
Hence in percent = \(\frac{2460}{13902}* 100 = 17.69\) rounded to 18%
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Re: In 1977, if twice as many anesthesiologists as orthopedists   [#permalink] 27 Jun 2018, 02:57
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