There are five sales agents in a certain real...

### Related Test 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 EduRev GMAT
We can create the following equations:
A = 2E
B = E + 3
C = 2B
D = B + E
Let’s substitute B = E + 3 in the last two equations:
C = 2(E + 3) = 2E + 6
D = (E + 3) + E = 2E + 3
Now, we have everything expressed in terms of E; thus it just remains to compare the quantities 2E, E + 3, 2E + 6, 2E + 3 and E. Since E is the number of properties sold by Ellen, it is a positive integer. Thus, the greatest expression among the five possibilities is 2E + 6, which belongs to Cary. View courses related to this question Explore GMAT courses
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