GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 16 Jul 2018, 07:46

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

# Rasheed bought two kinds of candy bars, chocolate and toffee, that cam

Author Message
TAGS:

### Hide Tags

Intern
Joined: 29 Oct 2010
Posts: 2
Rasheed bought two kinds of candy bars, chocolate and toffee, that cam [#permalink]

### Show Tags

08 Apr 2011, 10:37
2
1
00:00

Difficulty:

55% (hard)

Question Stats:

68% (01:16) correct 32% (02:02) wrong based on 90 sessions

### HideShow timer Statistics

Rasheed 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 2/5 of the toffee bars. How many pachages of chocolate bars did Rasheed buy?

(1) Rasheed bought 2 fewer packages of chocolate bars than toffee bars.

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

OPEN DISCUSSION OF THIS QUESTION IS HERE: http://gmatclub.com/forum/rasheed-bough ... 29470.html
Intern
Joined: 05 Oct 2010
Posts: 13
Re: Rasheed bought two kinds of candy bars, chocolate and toffee, that cam [#permalink]

### Show Tags

08 Apr 2011, 11:58
Statement 1 INSUFFICIENT
Rasheed could of buy 10 packages of toffee bars and 9 packages of chocolate bars
or 25 packages of toffee bars and 24 packages of chocolate bars.

Statement 2 INSUFFICIENT
9 packages of chocolate bars, 2 bars in each package totals 18 bars. 2/3 x 18 = 12
10 packages of toffee bars , 2 bars in each package totals 20 bars 3/5 x 20 = 12
(Rasheed gives out the same number of each bar)
However, if we double the number of chocolate and toffee bars the statement remains true.

BOTH STATEMENTS : SUFFICIENT
Rasheed bought 9 packages of chocolate bars
Math Forum Moderator
Joined: 20 Dec 2010
Posts: 1899
Re: Rasheed bought two kinds of candy bars, chocolate and toffee, that cam [#permalink]

### Show Tags

08 Apr 2011, 12:02
1
Krupa2 wrote:
Data Sufficiency

Rasheed bought 2 kinds of candy bars, chocolate and toffee, that came in packages of 2 bars each. He handed out 2/3 rd of the chocolate bars and 3/5 th of the toffee bars. How many packages of chocolate bars did Rasheed buy?
1. Rasheed bought 1 fewer package of chocolate bars than toffee bars
2. Rasheed handed out the same number of each kind of candy bar.

Good question!!!

Let's consider Rasheed bought "C" chocolate bars' packages and "T" toffee bars' packages.

Total Chocolate bar = 2C
Total Toffee bar = 2T

Total Candy bars = 2(C+T)
Total Candy Bars Handed out = (2/3)*(2C)+(3/5)*(2T) = (4/3)C+(6/5)T

This tells us that total chocolate bars' packages were a multiple of 3 and toffee bars' packages were multiple of 5.
This also tells us that total chocolate bars were a multiple of 4 and toffee bars were multiple of 6.

Q: C = ?

1. Rasheed bought 1 fewer package of chocolate bars than toffee bars
C = T-1
C - T = -1

C can be 9, T=10
C can be 24, T=25
C can be 39, T=40

Not Sufficient.

2. Rasheed handed out the same number of each kind of candy bar.
(4/3)C = (6/5)T
20C=18T
10C=9T

C can be 9, T=10
C can be 18, T=20
C can be 27, T=30
Not Sufficient.

Combining both:
10C -10T = -10
10C -9T = 0
----------------
T=10
C=9.

Sufficient.

Ans:"C"
_________________
Retired Moderator
Joined: 16 Nov 2010
Posts: 1468
Location: United States (IN)
Concentration: Strategy, Technology
Re: Rasheed bought two kinds of candy bars, chocolate and toffee, that cam [#permalink]

### Show Tags

08 Apr 2011, 19:18
C - Chocolates Bar

T - Toffee

So C + T = ?

He gave out - 2/3 * C * 2 = 4C/3

and 3/5 * T * 2 = 6T/5

(1)
C = T - 1

which is not sufficient

(2) 4C/3 = 6T/5

=> C = 9T/10

This is also not sufficient as we'll get only a ratio

(1) and (2) together :

9T/10 + 1 = T

=> 10T = 9T + 10
=> T = 10

and C = 9

So C + T = 19

Of course we don't need to find the value of C + T.
_________________

Formula of Life -> Achievement/Potential = k * Happiness (where k is a constant)

GMAT Club Premium Membership - big benefits and savings

Manager
Joined: 18 Jan 2011
Posts: 221
Re: Rasheed bought two kinds of candy bars, chocolate and toffee, that cam [#permalink]

### Show Tags

08 Apr 2011, 20:32
from 2) 2/3C=3/5T
=> 10 C = 9 T
Not sufficient - above represents total number i.e 2 times x no of boxes

From 1) C/2 = T/2 -1
Not sufficient.

From above, both are sufficient to determine.
_________________

Good Luck!!!

***Help and be helped!!!****

Manager
Joined: 10 Jan 2010
Posts: 161
Location: Germany
Concentration: Strategy, General Management
Schools: IE '15 (M)
GPA: 3
WE: Consulting (Telecommunications)
Re: Rasheed bought two kinds of candy bars, chocolate and toffee, that cam [#permalink]

### Show Tags

21 Feb 2012, 06:36
I had the same question in the GMAT Prep.

(1) not sufficient, as 10 to 9 solution possible as well as 25 to 24 solution
(2) not sufficient, as 9 (respective 10) hand out 12 bars each, if doubled equally again

--> only 10 respective 9 packages are possible if combined!

"C"
Math Expert
Joined: 02 Sep 2009
Posts: 47016
Re: Rasheed bought two kinds of candy bars, chocolate and toffee, that cam [#permalink]

### Show Tags

24 Nov 2017, 00:32
Krupa2 wrote:
Rasheed 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 2/5 of the toffee bars. How many pachages of chocolate bars did Rasheed buy?

(1) Rasheed bought 2 fewer packages of chocolate bars than toffee bars.

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

Rasheed 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 chocolates bar did Rasheed buy?

Let C be # of packages of chocolate bars and T be # of packages of toffee bars. Rasheed handed out 2/3*2C of the chocolate bars and 3/5*2T of the toffee bars. Question: C=?

(1) Rasheed bought 1 fewer package of chocolate bars than toffee bars --> C=T-1, two variables one equation. Not sufficient.

(2) Rasheed handed out the same number of each kind of candy bar --> 2/3*2C=3/5*2T, two variables one equation. Not sufficient.

(1)+(2) We have two distinct equations and two variables, hence we can solve for them. Sufficient.

OPEN DISCUSSION OF THIS QUESTION IS HERE: http://gmatclub.com/forum/rasheed-bough ... 29470.html
_________________
Re: Rasheed bought two kinds of candy bars, chocolate and toffee, that cam   [#permalink] 24 Nov 2017, 00:32
Display posts from previous: Sort by

# Events & Promotions

 Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.