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# A contractor combined x tons of a gravel mixture that

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Manager
Joined: 13 Jan 2009
Posts: 172
Followers: 4

Kudos [?]: 18 [0], given: 9

A contractor combined x tons of a gravel mixture that [#permalink]  02 Sep 2009, 01:50
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Question Stats:

57% (01:15) correct 43% (00:01) wrong based on 14 sessions
A contractor combined x tons of a gravel mixture that contained 10% gravel G, by weight, with y tons of a mixture that contained 2% gravel G, by weight, to produce z tons of a mixture that was 5% gravel G, by weight. What is the value of x?

1. y = 10
2. z = 16

Senior Manager
Joined: 23 Jun 2009
Posts: 354
Location: Turkey
Schools: UPenn, UMich, HKS, UCB, Chicago
Followers: 5

Kudos [?]: 98 [0], given: 63

Re: Mixture problem from gmatprep [#permalink]  02 Sep 2009, 01:58
x.10%+y.2%=z.5% x+y=z so it makes
x.10%+y.2%=(x+y).5%
x.10%+y.2%=x.5%+y.5%=
x.5%=y.3%
5x=3y
x=3y/5
z=8y/5
so if we know either y or z we can find x.
i.e. 1 and 2 suff, D.
Manager
Joined: 15 Jun 2009
Posts: 164
Followers: 1

Kudos [?]: 27 [0], given: 8

Re: Mixture problem from gmatprep [#permalink]  03 Sep 2009, 21:17
One eq. will be 10x + 2y = 5z

Other eq, x+y=z

Stmt 1 : y =10 ..suff 3 equation...3 variable

Stmt 2 : z = 16 ..suff 3 equation...3 variable
Manager
Joined: 26 Jul 2010
Posts: 102
Location: India
Concentration: Operations, General Management
Schools: IIMA (M)
GMAT 1: 640 Q48 V29
GMAT 2: 670 Q49 V31
WE: Supply Chain Management (Military & Defense)
Followers: 5

Kudos [?]: 21 [0], given: 6

Re: Mixture problem from gmatprep [#permalink]  22 Apr 2011, 22:15
word translation problems requires simplification

and we should not miss to intrept that

z=x+y in this case

then simplified equation will be 5x=3y and z=x+y

hence both staement are sufficent D
_________________

lets start again

Re: Mixture problem from gmatprep   [#permalink] 22 Apr 2011, 22:15
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