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If Erin, Katy and Jess have a total of $60, how much money does Jess

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If Erin, Katy and Jess have a total of $60, how much money does Jess [#permalink]

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New post 03 Sep 2017, 05:35
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If Erin, Katy and Jess have a total of $60, how much money does Jess have?

(1) Jess has twice as much money as Katy and 2/3 as much as Erin.
(2) Jess has half the total amount of money that Katy and Erin have combined.
[Reveal] Spoiler: OA

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Re: If Erin, Katy and Jess have a total of $60, how much money does Jess [#permalink]

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New post 04 Sep 2017, 09:46
Bunuel wrote:
If Erin, Katy and Jess have a total of $60, how much money does Jess have?

(1) Jess has twice as much money as Katy and 2/3 as much as Erin.
(2) Jess has half the total amount of money that Katy and Erin have combined.



Let Jess have"J" money, Katy have "K"and Erin have "E"

Then,

E+J+K= 60

From statement 1 we can have

J=2K
Therefore, k=J/2

Similarly we have E= 3/2*J

So combining these we can find the value of J

From Statement 2 We have

J=1/2(E+K)

Therefore, E+K = J

So now we can find the value of J

So answer is D

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Re: If Erin, Katy and Jess have a total of $60, how much money does Jess [#permalink]

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New post 04 Sep 2017, 09:55
The key thing to spot here is that both statements describe the amounts that each person has in relation to each other and since the total amount is provided in the original question stem, we know that both statements are sufficient.

Answer D.
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Re: If Erin, Katy and Jess have a total of $60, how much money does Jess [#permalink]

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New post 04 Sep 2017, 11:12
Bunuel wrote:
If Erin, Katy and Jess have a total of $60, how much money does Jess have?

(1) Jess has twice as much money as Katy and 2/3 as much as Erin.
(2) Jess has half the total amount of money that Katy and Erin have combined.


There are three unknowns posted by the question. Those are the money possessed by each one of Erin, Katy and Jess.
So, in oder to find out the amount that Jess has, we should either have each individual values of atleast two variables or we know the relation of two variable with any one.

Both statements give us the relationship among the three variables. We can substitute a single variable and find out the value.

Hence, answer will be D. Each statement alone is sufficient.


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Re: If Erin, Katy and Jess have a total of $60, how much money does Jess   [#permalink] 04 Sep 2017, 11:12
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