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# Rasheed bought two kinds of candy bars

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Intern
Joined: 13 Aug 2018
Posts: 9
Rasheed bought two kinds of candy bars  [#permalink]

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21 Oct 2018, 09:07
00:00

Difficulty:

85% (hard)

Question Stats:

25% (01:54) correct 75% (01:20) wrong based on 16 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
Manager
Joined: 18 Jun 2018
Posts: 230
Rasheed bought two kinds of candy bars  [#permalink]

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21 Oct 2018, 09:57
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 $$C$$.
Math Expert
Joined: 02 Sep 2009
Posts: 50572
Re: Rasheed bought two kinds of candy bars  [#permalink]

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21 Oct 2018, 20:03
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
_________________
Re: Rasheed bought two kinds of candy bars &nbs [#permalink] 21 Oct 2018, 20:03
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