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Jean bought two kinds of candy bars, chocolate and

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Jean bought two kinds of candy bars, chocolate and [#permalink] New post 10 Dec 2006, 00:38
Jean bought two kinds of candy bars, chocolate and toffee,that came in packages of 2 bars each. he handed out 2/3 of the chocolate bars and 3/5 of the toffee bars. how many packages of chocolate bars did Jean buy?

(1) jean bought 1 fewer package of chocolate bars than toffee bars.

(2) Jean handed out the same number of each kind of candy bar.

Please help.
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[#permalink] New post 10 Dec 2006, 09:03
I think it should be C

Let C be no of Choclate Candy Bars and T be the no of Tofee Bats

From (1) C= T-1
Each packet has 2 candy bars
So, 2C = 2(T-1)
From (2)
2/3(2C) = 2(T-1)3/5
Therefore, 4/3C-6T/5 = -6/5
Subsituting (1) in the equation
Therefore T = 1
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 [#permalink] New post 10 Dec 2006, 09:38
C is right as explained above ... I cud not however understand the relevance of the extra info in the stem -"that came in packages of 2 bars each"
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Re: C [#permalink] New post 10 Dec 2006, 11:52
mitul wrote:
I think it should be C

Let C be no of Choclate Candy Bars and T be the no of Tofee Bats

From (1) C= T-1
Each packet has 2 candy bars
So, 2C = 2(T-1)
From (2)
2/3(2C) = 2(T-1)3/5
Therefore, 4/3C-6T/5 = -6/5
Subsituting (1) in the equation
Therefore T = 1


I had same working but if T = 1 then from first equation you always get C=0?
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 [#permalink] New post 10 Dec 2006, 14:33
Let x be the number of chocolate bars

2/3(x) = 3/5 (x+2) ( two more candy bars)

2/3x = 3/5x - 6/5

9 chocolate bars; 10 candy bars
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Re: C [#permalink] New post 10 Dec 2006, 15:13
MBAlad wrote:
mitul wrote:
I think it should be C

Let C be no of Choclate Candy Bars and T be the no of Tofee Bats

From (1) C= T-1
Each packet has 2 candy bars
So, 2C = 2(T-1)
From (2)
2/3(2C) = 2(T-1)3/5
Therefore, 4/3C-6T/5 = -6/5
Subsituting (1) in the equation
Therefore T = 1


I had same working but if T = 1 then from first equation you always get C=0?


I think that's why statement 1 is not enough to tell how many packages of chocolate there were. T could either be 1 or not, you don't know for sure.
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 [#permalink] New post 10 Dec 2006, 15:18
deep wrote:
C is right as explained above ... I cud not however understand the relevance of the extra info in the stem -"that came in packages of 2 bars each"


I think the extra info is so that in S2, you can establish the equation: you know he handed out 2/3 of the amount of chocolate and 3/5 of the amount of toffee. If C is the number of packages he bought, then the amount of chocolate handed out is (2/3) (2C).

Similarly, the amount of toffee handed out is (3/5)2T

Thus, (2/3)(2C) = (3/5)(2T)
  [#permalink] 10 Dec 2006, 15:18
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