BTGmoderatorLU wrote: ↑Thu Aug 13, 2020 4:40 pm
Source: Veritas Prep
At a certain company, 40% of the women are over 50 years old and 50% of the men are over 50 years old. What percentage of the company are men?
1) 42% of all employees are over 50 years old
2) There are 500 employees at the company
This is a WEIGHTED AVERAGE/MIXTURE problem.
Statement 1:
Women's percentage = 40%
Men's percentage = 50%
Percentage for the MIXTURE of all employees = 42%
To determine the ratio of women to men, use ALLIGATION -- a very efficient way to handle mixture problems.
Step 1: Plot the 3 percentages on a number line, with the percentages for women and men (40% and 50%) on the ends and the percentage for the mixture (42%) in the middle.
W 40---------42---------M 50
Step 2: Calculate the distances between the percentages.
W 40 ----
2----42----
8----M 50
Step 3: Determine the ratio in the mixture.
The ratio of women to men is equal to the RECIPROCAL of the distances in red.
W:M = 8:2 = 4:1
Of every 5 employees, 4 are women and 1 is a man, implying that men/total = 1/5 = 20%.
SUFFICIENT.
Statement 2:
No way to determine men/total.
INSUFFICIENT.
The correct answer is
A.
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