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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
Correct answer is option 'C'. Can you explain this answer?

Answers

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.

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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)Andyb)Bobc)Caryd)Dorae)EllenCorrect answer is option 'C'. Can you explain this answer? for GMAT 2023 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about 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)Andyb)Bobc)Caryd)Dorae)EllenCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for GMAT 2023 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 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)Andyb)Bobc)Caryd)Dorae)EllenCorrect answer is option 'C'. Can you explain this answer?.
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We can create the following equations:A = 2EB = E + 3C = 2BD = B + ELet’s substitute B = E + 3 in the last two equations:C = 2(E + 3) = 2E + 6D = (E + 3) + E = 2E + 3Now, 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.