candy

[fangtray]

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 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

[sam2304]

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 chocolate bars did Rasheed buy?

1. Rasheed bought 1 fewer package of chocolate bars than toffee bars

X chocolate, y = toffee

X = Y-1. Two unknowns and one eqn. INSUFF

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

2/3*2*x = 3/5*2*y [multiply 2 on both sides - one package = 2 bars]
x/y = 9/10. We know the ratio alone but without any additional data we cannot find the individual values. INSUFF.

Using both we can solve for the values.

IMO C. Is it right ?

[Mohitbhatia880]

1. 1 fewer packages so first equation should be x/2 = y/2 - 1
2. (2/3)x = (3/5)y

Plug value of x from second equation to first equation and find y. Do not consider any outside information.
from 2: x = 9/10 y
after plug in, from 1: 9/10 *y/2 = y/2 - 1 .... solve it.

So C is suffice.

[GmatKiss]

IMO: C, good one!

[Anurag@Gurome]

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 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

Let the number of packages of chocolate bars = C
Number of packages of toffee bars = T
Rasheed handed out (2/3) * 2C of the chocolate bars and (3/5) * 2T of the toffee bars.

We have to find C.

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

(2) Rasheed handed out the same number of each kind of candy bar implies (2/3) * 2C = (3/5) * 2T, there are two variables but one equation; NOT sufficient.

Combining (1) and (2), we have two equations and two variables, which can be solved for C; SUFFICIENT.

The correct answer is C.