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There are five sales agents in a certain real estate office. One month

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There are five sales agents in a certain real estate office. One month  [#permalink]

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New post 23 Aug 2016, 03:49
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Official Guide for GMAT Quant Review 2016
Practice Question
Question No.:9
Page: 63
Difficulty:


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
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Re: There are five sales agents in a certain real estate office. One month  [#permalink]

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New post 23 Aug 2016, 04:27
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nycgirl212 wrote:
Official Guide for GMAT Quant Review 2016
Practice Question
Question No.:9
Page: 63
Difficulty:


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


I am not sure if this is the shortest one:

Let's write down the information.
A = 2E..here let E = 1 then A = 2
B = E+3 => B = 4
C = 2B. => C = 8
D = B+E. => D = 5.

Thus C is more than others...

Option C is the correct answer..
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Re: There are five sales agents in a certain real estate office. One month  [#permalink]

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New post 23 Aug 2016, 05:54
a= 2e
b =3 +e
c = 2b = 6+ 2e (highest of all)
d = b + e = 3+ e +e = 3 + 2e

Ans. C
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There are five sales agents in a certain real estate office. One month  [#permalink]

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New post 11 Feb 2018, 07:22
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


Anyone could help me finding my mistake and why?
I assumed that Andy = 100 in the first place, then I started


based on the given info.
Andy=2Ellen
Bob+3 = Ellen
Cary = 2 Bob
Dora = Bob+Ellen


Andy =100
Ellen 50
Bob =47
Cary=94
Dora=97

I know it is a mistake but way!!
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Re: There are five sales agents in a certain real estate office. One month  [#permalink]

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New post 11 Feb 2018, 07:29
mohd_int wrote:
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


Anyone could help me finding my mistake and why?
I assumed that Andy = 100 in the first place, then I started


based on the given info.
Andy=2Ellen
Bob+3 = Ellen
Cary = 2 Bob
Dora = Bob+Ellen


Andy =100
Ellen 50
Bob =47
Cary=94
Dora=97

I know it is a mistake but way!!


Andy sold twice as many properties as Ellen: Andy = 2*Ellen;

Bob sold 3 more than Ellen: Bob = Ellen + 3;

Cary sold twice as many as Bob: Cary = 2*Bob;

Dora sold as many as Bob and Ellen together: Dora = Bob + Ellen,

If Andy = 100, then;

Ellen = 50;

Bob = 53;

Cary = 106;

Dora = 53 + 50 = 103.

Answer: C.
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Re: There are five sales agents in a certain real estate office. One month  [#permalink]

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New post 12 Feb 2018, 06:02
Bunuel wrote:
mohd_int wrote:
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


Anyone could help me finding my mistake and why?
I assumed that Andy = 100 in the first place, then I started


based on the given info.
Andy=2Ellen
Bob+3 = Ellen
Cary = 2 Bob
Dora = Bob+Ellen


Andy =100
Ellen 50
Bob =47
Cary=94
Dora=97

I know it is a mistake but way!!


Andy sold twice as many properties as Ellen: Andy = 2*Ellen;

Bob sold 3 more than Ellen: Bob = Ellen + 3;

Cary sold twice as many as Bob: Cary = 2*Bob;

Dora sold as many as Bob and Ellen together: Dora = Bob + Ellen,

If Andy = 100, then;

Ellen = 50;

Bob = 53;

Cary = 106;

Dora = 53 + 50 = 103.

Answer: C.


Thank you so much for your post. I see now my mistake!
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There are five sales agents in a certain real estate office. One month  [#permalink]

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New post 12 Feb 2018, 12:27
nycgirl212 wrote:
Official Guide for GMAT Quant Review 2016
Practice Question
Question No.:9
Page: 63
Difficulty:


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

A = 2E
B = E + 3
C = 2B
D = B + E
E

In problems such as this one, if you can make one variable equal to 100, it makes things simple.

(Here, the base variable does not have to be 100 because there are no percentages involved. I use 100 consistently because it's versatile.)

Once written out as above:
1) every variable is defined by B and/or E; but
2) B is defined by E

Let E = 100
A = 2E = 200
B = E + 3 = 103
C = 2B = 206
D = B + E = 203

C, Cary, sold the most properties.

Answer C
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Re: There are five sales agents in a certain real estate office. One month  [#permalink]

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New post 13 Feb 2018, 16:55
nycgirl212 wrote:

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


We can create the following equations:

A = 2E

B = E + 3

C = 2B

D = B + E

Looking at our equations, Ellen is not the person who sold the most properties because at least Bob sold more than she did. We also see that Dora sold more than Bob, so Bob is not the person who sold the most properties. Since B = E + 3 (so B > E), we see that Dora sold more than Andy (D > B since B + E > E + E). So Andy is not the person who sold the most properties and we are left with Cary and Dora. Since B > E, we see that Cary sold more than Dora (C > D since B + B > B + E). Thus, Cary sold the most properties.

Answer: C
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Re: There are five sales agents in a certain real estate office. One month  [#permalink]

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New post 19 Feb 2018, 09:39
nycgirl212 wrote:
Official Guide for GMAT Quant Review 2016
Practice Question
Question No.:9
Page: 63
Difficulty:


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



let Ellen sold sold X properties
then Andy = 2x
Bob = x+3
Carry = 2(x+9)
Dora 2(x+3) +2x

now i summed up all these properties :)

x+2x+x+3+2(x+9) +2(x+3) +2x

so i get 9x+27

9x=-27

x = -3 :?

so why my solution is such long and incorrect ? :)

anyone? :)
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Re: There are five sales agents in a certain real estate office. One month  [#permalink]

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New post 20 Feb 2018, 21:26
Lets plugin simple numbers

No of properties sold by ellen : 1
Andy (Twice as ellen) : 2
Bob (3 More than ellen) : 4
Cary(Twice as many as ellen): 8
Dora(Bob + Ellen) : 5

Cary has sold the highest number of properties

Ans: C
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There are five sales agents in a certain real estate office. One month  [#permalink]

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New post 15 Oct 2018, 10:39
dave13 wrote:
nycgirl212 wrote:
Official Guide for GMAT Quant Review 2016
Practice Question
Question No.:9
Page: 63
Difficulty:


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



let Ellen sold sold X properties
then Andy = 2x
Bob = x+3
Carry = 2(x+9) is incorrect it should be Carry = 2 (x+3) = 2x + 6
Dora 2(x+3) +2x if Dora is Bob + Ellen then the equation should be like this Dora = x + 3 + x = 2x + 3

now i summed up all these properties :)

x+2x+x+3+2(x+9) +2(x+3) +2x

so i get 9x+27

9x=-27

x = -3 :?

so why my solution is such long and incorrect ? :)

anyone? :)


You started correctly by assuming x for Ellen.

We are just comparing the values. There is no need to sum any of the them.

If Ellen = x

Then Andy = 2x

Bob = x + 3

Carry = 2*Bob = 2 (x+3) = 2x + 6

Dora = Bob + Ellen = x+3 +x = 2x + 3

For whatever substituted value of x (as long as the x value is an integer > 0). Because they cannot sell in negative nor in fractions :D.

Carry have sold more than anyone else.

I hope this helps.
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Re: There are five sales agents in a certain real estate office. One month  [#permalink]

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New post 12 Jan 2019, 11:45
Go straight to "C" answer

Ellen = X
Andy = 2X
Bob = 3X
Carry = 2 * 3X = 6X
Dora = 3X+X = 4X

Carry sold more real estate than anyone else at office
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Re: There are five sales agents in a certain real estate office. One month &nbs [#permalink] 12 Jan 2019, 11:45
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