Alice would like to determine the relative salaries of three coworkers using the followingfacts. First, she knows that Bob is not the highest paid of the three, then Cecil is. Second, she knows that if Cecil is not the lowest paid then Danny is paid the most. Isit possible to determine the relative salaries of Bob, Cecil, and Danny from what Aliceknows? If so, who is paid the most and who the least? Explain your reasoning.

Question

Taylor Contreras

Mathematics

19 November, 05:30

Alice would like to determine the relative salaries of three coworkers using the followingfacts. First, she knows that Bob is not the highest paid of the three, then Cecil is. Second, she knows that if Cecil is not the lowest paid then Danny is paid the most. Isit possible to determine the relative salaries of Bob, Cecil, and Danny from what Aliceknows? If so, who is paid the most and who the least? Explain your reasoning.

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Nicholas Fritz · Answer 1

First, Alice knows that Bob is not the highest paid of the three, then Cecil is. Means Bob can be at the second place or the third place.

Second, she knows that if Cecil is not the lowest paid then Danny is paid the most.

Here we get that Danny is the highest paid and Cecil is not the least paid so she must be at the second place.

Hence, Danny is at the first place or highest paid. Cecil is the second one.

And Bob is the lowest paid.