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"

_________________

~fluke

GMAT Club Premium Membership - big benefits and savings