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In Plutarch Enterprises, 70% of the employees are marketers, 20% are e
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16 Sep 2021, 09:38
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In Plutarch Enterprises, 70% of the employees are marketers, 20% are engineers, and the rest are managers. Marketers make an average salary of $50,000 a year, and engineers make an average of $80,000. What is the average salary for managers if the average for all employees is also $80,000?
A. $80,000 B. $130,000 C. $240,000 D. $290,000 E. $320,000
Re: In Plutarch Enterprises, 70% of the employees are marketers, 20% are e
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16 Sep 2021, 10:07
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Carcass wrote:
In Plutarch Enterprises, 70% of the employees are marketers, 20% are engineers, and the rest are managers. Marketers make an average salary of $50,000 a year, and engineers make an average of $80,000. What is the average salary for managers if the average for all employees is also $80,000?
A. $80,000 B. $130,000 C. $240,000 D. $290,000 E. $320,000
We can solve this using weighted averages
Weighted average of groups combined = (group A proportion)(group A average) + (group B proportion)(group B average) + (group C proportion)(group C average) + . . .
We're told that: The marketers (with an average annual salary of $50,000) comprise 7/10 of the group The engineers (with an average annual salary of $80,000) comprise 2/10 of the group The managers (with an average annual salary of $x) comprise 1/10 of the group The average salary of all groups COMBINED = 80,000
Applying the formula we get: 80,000 = (7/10)($50,000) + (2/10)($80,000) + (1/10)(x) Simplify: 80,000 = 35,000 + 16,000 + 0.1x Simplify: 80,000 = 51,000 + 0.1x We get: 29,000 = 0.1x Solve: x = 290,000
Answer: D
For more information on weighted averages, watch this video: