In a factory, the average weekly salary for each employee, including both officers and workers, is $50. Officers earn an average of $350 each, while workers receive an average of $40. Given that there are 25 officers, how many workers are employed in the factory?
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Thankss
thanksss
This one clicked pretty fast once I set up the weighted average. Officers pulling the mean way up always means a big pile of workers.
Got 750 but I almost picked 600 by messing up the ratio. Classic trap if you rush the balance step.
thanks, this was a nice medium one. The 350 vs 40 gap is huge so the answer has to be on the larger side of the choices.
What it tests
Your ability to reason about weighted averages and the composition of mixtures.
Common trap
Averaging the percentages of two solutions without weighting by their volumes.