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20 May 2026, 03:37
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In a company, the average salary of all employees is $52,000 per year. The average salary of managers is $80,000, and the average salary of non-managers is $45,000. If there are 140 employees in total, how many managers are there?
A. 24
B. 28
C. 32
D. 36
E. 40
A. 24
B. 28
C. 32
D. 36
E. 40
20 May 2026, 06:42
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This is a classic weighted average problem.
Recall the weighted average ratio formula:
\(\frac{Managers}{Non-managers} = \frac{45-52}{52-80} = \frac{-7}{-28} = \frac{1}{4}\).
Now, put everything in a ratio table:
Hence, (B) 28.
Recall the weighted average ratio formula:
\(\frac{Managers}{Non-managers} = \frac{45-52}{52-80} = \frac{-7}{-28} = \frac{1}{4}\).
Now, put everything in a ratio table:
| Managers | Non-managers | Total employees | |
| Ratio values | \(1\) | \(4\) | \(5\) |
| Actual values | \(1\times 28 = 28\) | \(140\, (= 5\times 28)\) |
Hence, (B) 28.
