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# Jessica has a limited investment portfolio of stocks and bon

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Jessica has a limited investment portfolio of stocks and bon [#permalink]  02 Jun 2013, 06:12
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78% (02:12) correct 22% (01:17) wrong based on 41 sessions
Jessica has a limited investment portfolio of stocks and bonds. If she sells half her stocks, how many stocks and bonds will she be left with?

(1) If she were to buy six more stocks, she would have twice as many stocks as bonds
(2) If she were to triple the number of her bonds, she would have three less than twice the number of her stocks.
[Reveal] Spoiler: OA

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Last edited by Bunuel on 02 Jun 2013, 06:16, edited 1 time in total.
Edited the question.
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Re: jessica has an investment portfolio of stocks and bonds. [#permalink]  02 Jun 2013, 06:13
Well, i got myself stuck with the wording of the first statement, the part where it says "she would have twice as many stocks as bonds"
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Re: Jessica has a limited investment portfolio of stocks and bon [#permalink]  02 Jun 2013, 06:23
Expert's post
Jessica has a limited investment portfolio of stocks and bonds. If she sells half her stocks, how many stocks and bonds will she be left with?

Question: S/2 + B = ?

(1) If she were to buy six more stocks, she would have twice as many stocks as bonds --> (S + 6) = 2B. Not sufficient.

(2) If she were to triple the number of her bonds, she would have three less than twice the number of her stocks --> 3B = 2S - 3. Not sufficient.

(1)+(2) We have two linear equations ((S + 6) = 2B and 3B = 2S - 3) with two unknowns, thus we can solve and get the value of S/2 + B. Sufficient.

Hope it's clear.
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Re: jessica has an investment portfolio of stocks and bonds. [#permalink]  02 Jun 2013, 09:48
kpali wrote:
Well, i got myself stuck with the wording of the first statement, the part where it says "she would have twice as many stocks as bonds"

What is important for you to understand is that there are two variables and each option gives relation between those two variables.
The relation are not overlapping so together should suffice for solution.
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Re: Jessica has a limited investment portfolio of stocks and bon [#permalink]  02 Jun 2013, 23:41
Thanx a lot for the replies guys, however, i am still having a bit of problem with understanding the statement. Below is how i am interpretting the statement :-

however According to the question Jessica has half her stocks currently i.e. S/2

So evaluating first statement i inferred that
(1) If she were to buy six more stocks, she would have twice as many stocks as bonds

S/2 + 6 = 2S = B

and if i go by the above equation then i dont need the second equation as a can figure out both the values from here.

Can you please help me figure out what am i missing here? I always seem to get stuck up on wordings with "as" involving two or more variables.

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Re: Jessica has a limited investment portfolio of stocks and bon [#permalink]  03 Jun 2013, 00:00
kpali wrote:
Thanx a lot for the replies guys, however, i am still having a bit of problem with understanding the statement. Below is how i am interpretting the statement :-

however According to the question Jessica has half her stocks currently i.e. S/2

So evaluating first statement i inferred that
(1) If she were to buy six more stocks, she would have twice as many stocks as bonds

S/2 + 6 = 2S = B

and if i go by the above equation then i dont need the second equation as a can figure out both the values from here.

Can you please help me figure out what am i missing here? I always seem to get stuck up on wordings with "as" involving two or more variables.

From B = 2S(though this is not what the question says, S+6 = 2B), how you could figure out both the values ?

B = 4, S = 2
B = 8, S = 4
B = 10, S = 5
and so on...

All of them satisfy the condition, B = 2S. By solution, it means you should solve unique values for B and S.

You need two relationships between B and S, so that you can find the common value satisfying both the conditions.

http://tutorial.math.lamar.edu/Classes/ ... Vrble.aspx
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Press Kudos, if I have helped.
Thanks!

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Re: Jessica has a limited investment portfolio of stocks and bon [#permalink]  03 Jun 2013, 00:33
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Expert's post
kpali wrote:
Thanx a lot for the replies guys, however, i am still having a bit of problem with understanding the statement. Below is how i am interpretting the statement :-

however According to the question Jessica has half her stocks currently i.e. S/2

So evaluating first statement i inferred that
(1) If she were to buy six more stocks, she would have twice as many stocks as bonds

S/2 + 6 = 2S = B

and if i go by the above equation then i dont need the second equation as a can figure out both the values from here.

Can you please help me figure out what am i missing here? I always seem to get stuck up on wordings with "as" involving two or more variables.

No your interpretation is not correct.

Currently: she has S stocks and B bonds, total S+B.
Question: IF she sells half her stocks, how many stocks and bonds will she be left with, so we need to determine the value of S/2+B.

Jessica has a limited investment portfolio of stocks and bonds. If she sells half her stocks, how many stocks and bonds will she be left with?

Question: S/2 + B = ?

(1) says: (S + 6) = 2B, which is not sufficient to get the value of S/2 + B.

(2) says 3B = 2S - 3, which is not sufficient to get the value of S/2 + B.

(1)+(2) We have two linear equations ((S + 6) = 2B and 3B = 2S - 3) with two unknowns, thus we can solve and get the value of S/2 + B. Sufficient.

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Re: Jessica has a limited investment portfolio of stocks and bon [#permalink]  03 Jun 2013, 01:21
Hi Bunuel,

Thanx for the reply, i guess i was just reading a lot into the question. It was pretty direct nevertheles, I get it now.

Thanx a lot for the help anyways.
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Re: Jessica has a limited investment portfolio of stocks and bon   [#permalink] 03 Jun 2013, 01:21
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