What is the minimum number of different salaries earned by the nine partners of the firm?

Amanda on March 21, 2018

How is 7 correct?

I don't understand how 7 is determined as the right answer

3 Replies

Mehran on March 21, 2018

Hi @huntlavender, thanks for your post. There is a video explanation available for this game; we encourage you to watch it to ensure that you have the correct set up.

You are told at the outset that K > I and also K > L. You do not know the relationship between I and L's salaries. Thus, it is possible that I and L earn the same amount.

Likewise, you are told that I > F, and L > N. But because you do not know the relationship between I and L's salaries, it is unclear whether one or more of these individuals earn the same amount.

However, you do know for sure that
K > I > F > M > G > J > H.

That's seven different people, each earning - for sure - seven different salaries. That is the minimum that must be true. This is why answer choice (C) is correct). Hope that helps! Please let us know if you have any additional questions.

spencer on July 10 at 08:47PM

but couldn't L and N both earn the same amount as two other people in the firm making the number 5 because it's only 5 salaries that aren't the same

Skylar on May 2 at 05:54PM

@smalone, happy to help!

For example, L could make the same salary as I, and N could make the same salary as F.

Let's add numbers to make this clearer. If L and I made the same salary and N and F made the same salary, we could have salaries of:

K: $700
L and I: $600
N and F: $500
M: $400
G: $300
J: $200
H: $100

As we see, this gives us a total of 7 different salaries.

Be careful to note that this question is not asking for the number of unique salaries that are only made by one person. We are only looking at the total number of salaries that are different than each other.

Does that make sense? Please let us know if you have any other questions!