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Steve works at an apple orchard and is paid by the bushel

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Manager
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Status: ==GMAT Ninja==
Joined: 08 Jan 2011
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Schools: ISB, IIMA ,SP Jain , XLRI
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Kudos [?]: 47 [0], given: 46

Steve works at an apple orchard and is paid by the bushel [#permalink] New post 03 Jul 2011, 10:57
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Difficulty:

  5% (low)

Question Stats:

17% (01:06) correct 83% (01:20) wrong based on 6 sessions
Steve works at an apple orchard and is paid by the bushel for the apples he harvests each day. For the first 42 bushels Steve harvests each day, he is paid y dollars per bushel. For each additinal bushel over 42, he is paid 1.5y. How many bushels of appels did Steve harvest yesterday?

1. Yesterday, Steve was paid $180 for the apples he harvested.
2. Today, Steve was paid $240, and he harvested 10 more bushels of apples than he harvested yesterday.
[Reveal] Spoiler: OA

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Joined: 05 Jul 2010
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Kudos [?]: 11 [0], given: 18

Re: Picking apples [#permalink] New post 03 Jul 2011, 11:59
it is E, but it took good amount of time for me. Any shortcuts ?

Assume x > 42, two eq.
180 = 42y + (x-42)*1.5y
240 = 42y + (x-32)*1.5y
this will give y = 4 and x = 44

Assume x < 42
180 = xy
240 = (x+10)y
y = 6
x = 30

two answer hence E.
Manager
Manager
User avatar
Status: ==GMAT Ninja==
Joined: 08 Jan 2011
Posts: 247
Schools: ISB, IIMA ,SP Jain , XLRI
WE 1: Aditya Birla Group (sales)
WE 2: Saint Gobain Group (sales)
Followers: 4

Kudos [?]: 47 [0], given: 46

Re: Picking apples [#permalink] New post 03 Jul 2011, 22:34
brandy96 wrote:
it is E, but it took good amount of time for me. Any shortcuts ?

Assume x > 42, two eq.
180 = 42y + (x-42)*1.5y
240 = 42y + (x-32)*1.5y
this will give y = 4 and x = 44

Assume x < 42
180 = xy
240 = (x+10)y
y = 6
x = 30

two answer hence E.


I got solution on this link
http://www.beatthegmat.com/picking-apples-t70206.html
but no shorcuts :( :(
even i am searching for the shortcut this question seemed quite time consuming i guess its a 750-800 level question :? :?
_________________

WarLocK
_____________________________________________________________________________
The War is oNNNNNNNNNNNNN for 720+
see my Test exp here http://gmatclub.com/forum/my-test-experience-111610.html
do not hesitate me giving kudos if you like my post. :)

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Manhattan GMAT Instructor
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Joined: 22 Mar 2011
Posts: 392
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Kudos [?]: 244 [0], given: 11

Re: Picking apples [#permalink] New post 03 Jul 2011, 23:47
Expert's post
An intuitive approach, with few or no written equations, might prove useful here.

The question is asking how many bushels of apples Steve picked yesterday, and the statements mostly just tell us about money, with no mention of the variable y used in the stimulus.

1) If Steve was paid $180 yesterday, he might have gotten paid $180 for one bushel, or $90 each for two bushels, etc. Insufficient.

2) Steve's total of $240 represents 10 more bushels than yesterday. Ignoring statement 1 for the moment, this means that today he could have picked 12 bushels @20 each, 80 bushels at $3 each, etc. The only real difference between this information and that offered in statement 1 is that we know he picked at least 10 apples today. Since that just tells us he picked at least 0 apples yesterday, that's not exactly revealing information. Insufficient.

1&2) Putting the two statements together, we know that the 10 extra bushels Steve picked today were worth $60 in pay. But is this at the rate of y or 1.5y? We don't have to do the calculations to know that we will get two different results. Insufficient.

I hope this helps those looking for a shortcut!
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Dmitry Farber | Manhattan GMAT Instructor | New York


Manhattan GMAT Discount | Manhattan GMAT Course Reviews | View Instructor Profile |
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Manager
Manager
User avatar
Status: ==GMAT Ninja==
Joined: 08 Jan 2011
Posts: 247
Schools: ISB, IIMA ,SP Jain , XLRI
WE 1: Aditya Birla Group (sales)
WE 2: Saint Gobain Group (sales)
Followers: 4

Kudos [?]: 47 [0], given: 46

Re: Picking apples [#permalink] New post 04 Jul 2011, 00:05
DmitryFarber wrote:
An intuitive approach, with few or no written equations, might prove useful here.

The question is asking how many bushels of apples Steve picked yesterday, and the statements mostly just tell us about money, with no mention of the variable y used in the stimulus.

1) If Steve was paid $180 yesterday, he might have gotten paid $180 for one bushel, or $90 each for two bushels, etc. Insufficient.

2) Steve's total of $240 represents 10 more bushels than yesterday. Ignoring statement 1 for the moment, this means that today he could have picked 12 bushels @20 each, 80 bushels at $3 each, etc. The only real difference between this information and that offered in statement 1 is that we know he picked at least 10 apples today. Since that just tells us he picked at least 0 apples yesterday, that's not exactly revealing information. Insufficient.

1&2) Putting the two statements together, we know that the 10 extra bushels Steve picked today were worth $60 in pay. But is this at the rate of y or 1.5y? We don't have to do the calculations to know that we will get two different results. Insufficient.

I hope this helps those looking for a shortcut!



this was Quite smart DmitryFarber

probably it was a better approach :-D :-D
_________________

WarLocK
_____________________________________________________________________________
The War is oNNNNNNNNNNNNN for 720+
see my Test exp here http://gmatclub.com/forum/my-test-experience-111610.html
do not hesitate me giving kudos if you like my post. :)

Re: Picking apples   [#permalink] 04 Jul 2011, 00:05
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