There are five sales agents in a certain real state office. One month Andy sold twice as many properties as Ellen, Bob

[BTGmoderatorLU]

Source: Official Guide

There are five sales agents in a certain real estate office. One month Andy sold twice as many properties as Ellen, Bob sold \(3\) more than Ellen, Cary sold twice as many as Bob, and Dora sold as many as Bob and Ellen together. Who sold the most properties that month?

A) Andy
B) Bob
C) Cary
D) Dora
E) Ellen

The OA is C

[swerve]

Source: Official Guide

There are five sales agents in a certain real estate office. One month Andy sold twice as many properties as Ellen, Bob sold \(3\) more than Ellen, Cary sold twice as many as Bob, and Dora sold as many as Bob and Ellen together. Who sold the most properties that month?

A) Andy
B) Bob
C) Cary
D) Dora
E) Ellen

The OA is C

Let's create the equations

\(A = 2E\)
\(B = E + 3\)
\(C = 2B\)
\(D = B+E\)

Now, set \(E = 1\) and Solve

\(A = 2(1) \Rightarrow A = 2\)
\(B = 1 + 3 \Rightarrow B = 4\)
\(C = 2(4) \Rightarrow C = 8\)
\(D = 4 + 1 \Rightarrow D = 5\)

Therefore, C