77 algebra ds

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ern5231: Master | Next Rank: 500 Posts; Posts: 226; Joined: Sun Aug 09, 2009 4:34 am

by ern5231 » Sun Oct 04, 2009 6:57 am

5X+3Y = ?

1)X/0.3 + Y/0.5 = 1/8

2)X/0.5 + Y/0.3 = 1/8

I don't have the OA but I feel the answer is E since finally the equations reduce to X=Y. What is your take?

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Source: Beat The GMAT — Data Sufficiency | Sun Oct 04, 2009 6:57 am

umaa: Legendary Member; Posts: 727; Joined: Sun Jun 08, 2008 9:32 pmFollowed by: 1 member; Thanked: 8 times

Re: 77 algebra ds

by umaa » Sun Oct 04, 2009 7:02 am

ern5231 wrote:5X+3Y = ?

1)X/0.3 + Y/0.5 = 1/8

2)X/0.5 + Y/0.3 = 1/8

I don't have the OA but I feel the answer is E since finally the equations reduce to X=Y. What is your take?

IMO A.

X/0.3 + Y/0.5 = 1/8

0.5X + 0.3Y/(0.15) = 1/8

O.5X + 0.3Y = 0.15/8

Multiply both the sides by 10,

5X + 3Y = 1.5/8 - Sufficient.

The second statement gives,

3X + 5Y = 1.5/8. We can find 5X + 3Y with this.
So, Statement 2 is insufficient.

What we think, we become

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