At a certain company, the average (arithmetic mean) number of years of experience is 9.8 years for the male employees and 9.1 years for the female employees. What is the ratio of the number of the company's male employees to the number of the company's female employees?
(1) There are 52 male employees at the company
(2) The average number of years of experience for the company's male and female employees combined in 9.3 years.
Statement 1: men = 52
No way to determine the ratio of men to women.
INSUFFICIENT.
Statement 2: company average = 9.3
Step 1: Plot the 3 averages on a number line, with the averages for the men and women (9.8 and 9.1) on the ends and the average for the whole company (9.3) in the middle.
M(9.8)--------------------9.3-------W(9.1)
Step 2: Calculate the distances between the averages.
M(9.8)-----------
.5---------9.3----
.2----W(9.1)
Step 3: Determine the ratio of men to women.
The ratio of M to W is the RECIPROCAL of the distances in red.
M:W = .2:.5 = 2:5.
SUFFICIENT.
The correct answer is
B.
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