fraction DS question

[tj123]

Alex bought 2 kinds of candy bars, blue and black, that came in packages of 2 bars each. He handed out 2/3 of the blue bars and 3/5 of the black bars. How many packages of blue bars did he buy?

1) Alex bought 1 fewer package of blue bars than black bars
2) Alex handed out the same number of each kind of bar

the answer is C) both
please explain

[mudit_verma]

Let no. of packages of blue bar = x and black bar = y, hence no. of blue bar = 2x and black bar = 2y as package contains 2 bars.

We need to find x?

Stmt 1: Alex bought 1 fewer package of blue bars than black bars

x = y -1

To get x we need 1 more eqn.

Not suff

Stmt 2: Alex handed out the same number of each kind of bar

2/3*2x = 3/5 *2y

Not suff

Stmt 1 & 2:
We have 2 eqns
x = y-1
2/3*2x = 3/5 *2y

Suff

[vishubn]

Alex got
Blue and black candy

1 package=2 bars

here it is paackages so dont knwo how many ??

A)blue=Black-1
it can be any numebr of packages
Isuff

B)2/3 *2 blue = 3/5 *2 black
Not suff

together !! substitute for blue u get the numebr of candy bars

Vishu

[GMATters1001]

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