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Gmat Prep - Mixture Problem

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maxim730: Senior | Next Rank: 100 Posts; Posts: 76; Joined: Tue Dec 26, 2006 11:26 amFollowed by: 3 members

by maxim730 » Fri Mar 16, 2007 2:07 pm

First time encountering a mixture problem. The formula on the cheat sheet won't work for this example.

Please see attached image. Thanks!!!!

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Source: Beat The GMAT — Problem Solving | Fri Mar 16, 2007 2:07 pm

jayhawk2001: Community Manager; Posts: 789; Joined: Sun Jan 28, 2007 3:51 pmFollowed by: 1 member; Location: Silicon valley, California; Thanked: 30 times

by jayhawk2001 » Fri Mar 16, 2007 9:31 pm

Given that the resulting mixture is 1.5% grade,

(1%x + 2%y + 3%z) / (x + y + z) = 1.5%
x + 2y + 3z = 1.5x + 1.5y + 1.5z
x = y + 3z

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LalaB: Master | Next Rank: 500 Posts; Posts: 425; Joined: Wed Dec 08, 2010 9:00 amFollowed by: 7 members; Thanked: 56 times; GMAT Score:690

by LalaB » Thu Jan 19, 2012 10:49 am

(x+2y+3z)/(x+y+z)=3/2

(x+y+z)/(x+y+z)+(y+2z)/(x+y+z)=3/2
(y+2z)/(x+y+z)=1/2

x=y+3z

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GMATGuruNY: GMAT Instructor; Posts: 15539; Joined: Tue May 25, 2010 12:04 pmFollowed by: 1906 members; Location: New York, NY; Thanked: 13060 times; GMAT Score:790

by GMATGuruNY » Thu Jan 19, 2012 12:41 pm

I posted an alternate approach here:

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Anurag@Gurome: GMAT Instructor; Posts: 3835; Joined: Fri Apr 02, 2010 10:00 pmFollowed by: 523 members; Location: Milpitas, CA; Thanked: 1854 times; GMAT Score:770

by Anurag@Gurome » Thu Jan 19, 2012 8:46 pm

This means that x/100 + y * 2/100 + z * 3/100 =(x+y+z) * 1.5/100
Or 2x + 4y + 6z = 3x + 3y + 3z
Or x = y + 3z

The correct answer is A.

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