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An engineering toolkit contains 6 gizmos and 9 gadgets. Anthony and

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Joined: 02 Jul 2017
Posts: 281

Kudos [?]: 106 [1], given: 66

GMAT 1: 730 Q50 V38
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An engineering toolkit contains 6 gizmos and 9 gadgets. Anthony and [#permalink]

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New post 06 Nov 2017, 09:39
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Difficulty:

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Question Stats:

50% (03:36) correct 50% (01:37) wrong based on 16 sessions

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An engineering toolkit contains 6 gizmos and 9 gadgets. Anthony and Lily each buy some tool-kits. After both of them complete their purchases, Lily trades two-thirds of her gizmos with Anthony for two-thirds of his gadgets.
After the trade, Lily has 92 more gadgets than she has gizmos, and Anthony has 50 more gizmos than he has gadgets. How many tool-kits did Lily buy?

A) 4
B) 5
C) 6
D) 8
E) 10
[Reveal] Spoiler: OA

Kudos [?]: 106 [1], given: 66

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Joined: 02 Aug 2009
Posts: 5339

Kudos [?]: 6103 [0], given: 121

An engineering toolkit contains 6 gizmos and 9 gadgets. Anthony and [#permalink]

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New post 06 Nov 2017, 09:49
Nikkb wrote:
An engineering toolkit contains 6 gizmos and 9 gadgets. Anthony and Lily each buy some tool-kits. After both of them complete their purchases, Lily trades two-thirds of her gizmos with Anthony for two-thirds of his gadgets.
After the trade, Lily has 92 more gadgets than she has gizmos, and Anthony has 50 more gizmos than he has gadgets. How many tool-kits did Lily buy?

A) 4
B) 5
C) 6
D) 8
E) 10



let Lily take x set and Anthony take y...

lily has 6x gizmos and 9x gadgets
Anthony has 6y gizmos and 9y gadgets...

after the exchange.....

Lily has \(\frac{1}{3}*6x=2x\) gizmos and \(9x+\frac{2}{3}*9y=9x+6y\) gadgets
given that difference is 92 so \(9x+6y-2x=7x+6y=92\)

A has \(\frac{1}{3}*9y=3y\) gadgets and \(6y+\frac{2}{3}*6x=4x+6y\) gadgets
given that difference is 50 so \(4x+6y-3y=4x+3y=50\)

so \(7x+6y=92\).....................(i)
\(4x+3y=50.......8x+6y=100\)..(ii)
subtract i from ii
\(8x+6y-7x-6y=100-92........x=8\)
ans 8

D
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Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html

Kudos [?]: 6103 [0], given: 121

Senior Manager
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User avatar
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Joined: 02 Jul 2017
Posts: 281

Kudos [?]: 106 [0], given: 66

GMAT 1: 730 Q50 V38
GMAT ToolKit User CAT Tests
Re: An engineering toolkit contains 6 gizmos and 9 gadgets. Anthony and [#permalink]

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New post 06 Nov 2017, 10:33
Attaching solution again as someone deleted my earlier post.. not sure why.... :(

emockus , Tridhipal and dave13

Guys here is the solution :

Tool-kit = 6 gizmos + 9 gadgets

Let Anthony bought Toolkits = a
and Lily bought Toolkits = b
Attachments

Toolkit question.JPG
Toolkit question.JPG [ 1.99 MiB | Viewed 167 times ]

Kudos [?]: 106 [0], given: 66

Re: An engineering toolkit contains 6 gizmos and 9 gadgets. Anthony and   [#permalink] 06 Nov 2017, 10:33
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An engineering toolkit contains 6 gizmos and 9 gadgets. Anthony and

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