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Rasheed bought two kinds of candy bars

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Intern
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Joined: 13 Aug 2018
Posts: 30
Rasheed bought two kinds of candy bars  [#permalink]

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New post 21 Oct 2018, 10:07
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A
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C
D
E

Difficulty:

  85% (hard)

Question Stats:

29% (02:07) correct 71% (01:20) wrong based on 17 sessions

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Data Sufficiency::

Rasheed bought two kinds of candy bars, chocolate and toffee, that came in packages of 2 bars each. He handed out 2/3 chocolate bars and 3/5 of the toffee bars. How many packages of chocolate bars did Rasheed buy?

l) Rasheed bought 1 fewer package of chocolate bars than toffee bars.
2) Rasheed handed out the same number of each kind of candy bar.

what's the answer ? I'm getting confused

Posted from my mobile device
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Joined: 18 Jun 2018
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Rasheed bought two kinds of candy bars  [#permalink]

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New post 21 Oct 2018, 10:57
1
OA: C

Let us assume Rasheed bought \(C\) packages of Chocolate and \(T\) packages of toffee.
Each package has \(2\) Bar.
So Rasheed handed out \(\frac{2}{3}*2C\) Chocolate bars and \(\frac{3}{5}*2T\) toffee bars.
We have to answer "What is value of \(C\) i.e Number of Chocolate package "

1) Rasheed bought 1 fewer package of chocolate bars than toffee bars.
\(T-C=1\)
As we cannot find the value of either \(T\) or \(C\) , So Statement \(1\) alone is insufficient.

2) Rasheed handed out the same number of each kind of candy bar.
\(\frac{2}{3}*2C=\frac{3}{5}*2T\)
\(10C=9T\)
As we cannot find the value of either \(T\) or \(C\) , So Statement \(2\) alone is insufficient.

Combining \((1)\) and \((2)\), we get
\(T-C=1\)....(1)
\(10C=9T; \quad T = \frac{10C}{9}\)....(2)
Putting (2) into (1), we get
\(\frac{10C}{9}-C=1\)
\(C=9\)
Combining \((1)\) and \((2)\), we can get value of \(C\).
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Re: Rasheed bought two kinds of candy bars  [#permalink]

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New post 21 Oct 2018, 21:03
jackfr2 wrote:
Data Sufficiency::

Rasheed bought two kinds of candy bars, chocolate and toffee, that came in packages of 2 bars each. He handed out 2/3 chocolate bars and 3/5 of the toffee bars. How many packages of chocolate bars did Rasheed buy?

l) Rasheed bought 1 fewer package of chocolate bars than toffee bars.
2) Rasheed handed out the same number of each kind of candy bar.

what's the answer ? I'm getting confused

Posted from my mobile device


Please search before posting: https://gmatclub.com/forum/rasheed-boug ... 29470.html
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Re: Rasheed bought two kinds of candy bars   [#permalink] 21 Oct 2018, 21:03
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