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08 May 2019, 02:29
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A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
5%
(low)
Question Stats:
97% (01:34) correct
3%
(01:15)
wrong
based on 174
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A manufacturing company employs 125 people. Each employee is either a blue-collar employee or a white-collar employee. 67 of the employees are female, and 75 of the employees are blue-collar. If there is a total of 35 male white-collar employees, then the number of female white-collar employees is
A. 15
B. 23
C. 50
D. 52
E. 58
A. 15
B. 23
C. 50
D. 52
E. 58
08 May 2019, 23:09
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Bunuel
With this question, we have an overlapping set with two categories - Male vs. Female, and Blue-collar vs. White collar. So, we can set this up using the double-matrix method to organize our information. The original stem provides the following:
Attachment:
Overlapping Set - 1.png [ 10.77 KiB | Viewed 3238 times ]
From here, anytime we have two of the three elements - either horizontally or vertically - we can solve for the third by either summing to the total, or subtracting to one of the individual boxes. In this case, as follows:
Attachment:
Overlapping Set - 2.png [ 11.82 KiB | Viewed 3226 times ]
Since we're looking for the number of female white-collar employees, we just need to fill in the final gap by subtracting male white-collar from total white-collar to arrive at 15:
Attachment:
Overlapping Set - 3.png [ 12.13 KiB | Viewed 3188 times ]
So, anytime we have two categories of overlapping information, we can use the double-matrix method to organize the relationships among the elements of our overlapping set to draw conclusions! This method often allows us to substantially decrease the level of calculation and algebra necessary to leverage what we know to solve for our unknown. It's also useful to identify the box or element you're trying to solve for, so that you can stop once you've reached the answer to your question, rather than filling out the entire matrix each time, or allowing a convincing wrong answer to steer you astray!
Hope this helps!
21 May 2020, 05:01
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Bunuel
Since there are 75 blue collar employees, there are 125 - 75 = 50 white color employees. Since there are 35 male white-collar employees, there are 50 - 35 = 15 white-collar female employees.
Answer: A
