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Steve works at an apple orchard and is paid by the bushel [#permalink]

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03 Jul 2011, 11:57

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E

Difficulty:

85% (hard)

Question Stats:

38% (02:57) correct
62% (01:45) wrong based on 55 sessions

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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.

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.

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.

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!
_________________

Dmitry Farber | Manhattan GMAT Instructor | New York

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
_________________

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: Steve works at an apple orchard and is paid by the bushel [#permalink]

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27 Jan 2015, 04:30

Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: Steve works at an apple orchard and is paid by the bushel [#permalink]

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10 May 2016, 14:33

Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
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