Simple Data Sufficiency

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anwarma: Senior | Next Rank: 100 Posts; Posts: 56; Joined: Sat May 24, 2008 5:18 pm; Thanked: 1 times

Simple Data Sufficiency

by anwarma » Thu Jun 12, 2008 7:44 am

In a serving of a breakfast cereal that contains only oats, raisins, and nuts, the ratio of oats to raisins to nuts by weight is 3 to 2 to 1, respectively. How many ounces of raisins are in the serving?

(1) The serving weighs 4 ounces.
(2) The serving contains 2 ounces of oats.

Can someone help why it is D, I thought it is A only

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Source: Beat The GMAT — Data Sufficiency | Thu Jun 12, 2008 7:44 am

durgesh79: Master | Next Rank: 500 Posts; Posts: 167; Joined: Tue Apr 22, 2008 12:48 am; Thanked: 15 times

by durgesh79 » Thu Jun 12, 2008 8:02 am

Lets say amounts of oats, raisins and nuts are 3x, 2x and x.

Statement 1 : 3x+2x+x = 4, we can find out x,. suff

statement 2 3x = 2, we can again find out x. suff

Answer D

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Stuart@KaplanGMAT: GMAT Instructor; Posts: 3225; Joined: Tue Jan 08, 2008 2:40 pm; Location: Toronto; Thanked: 1710 times; Followed by:614 members; GMAT Score:800

Re: Simple Data Sufficiency

by Stuart@KaplanGMAT » Thu Jun 12, 2008 12:57 pm

anwarma wrote:In a serving of a breakfast cereal that contains only oats, raisins, and nuts, the ratio of oats to raisins to nuts by weight is 3 to 2 to 1, respectively. How many ounces of raisins are in the serving?

(1) The serving weighs 4 ounces.
(2) The serving contains 2 ounces of oats.

Can someone help why it is D, I thought it is A only

If you know the full ratio, knowing any real number will allow you to solve for everything.

(1) 3x + 2x + x = 4; we can solve for x.

(2) o:r:n=3:2:1; knowing that o = 2, we can solve for r and n.