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

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

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New post 03 Jul 2011, 11:57
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Question Stats:

36% (02:19) correct 64% (02:28) wrong based on 148 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.

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Re: Picking apples  [#permalink]

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New post 04 Jul 2011, 00:47
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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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Re: Steve works at an apple orchard and is paid by the bushel  [#permalink]

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New post 27 Oct 2016, 07:19
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Warlock007 wrote:
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.


actually...very simple to find out...
1. 180 might have been for 10 bushels or 180 might have been for 50 bushels for ex. - not sufficient.
2. clearly alone not sufficient.

1+2.
we have a difference of 60$ for 10 bushels.
we can have 2 options:
1. he sold yesterday 30 bushels for 60$/bushel, thus, today he sold 40 bushels and got 240$
2. he sold yesterday 42+smth, and now he sold 42+smth+10 and got +60$.

2 outcomes - answer is E.
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Re: Picking apples  [#permalink]

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New post 03 Jul 2011, 12:59
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.
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Re: Picking apples  [#permalink]

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New post 04 Jul 2011, 01:05
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
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Re: Steve works at an apple orchard and is paid by the bushel  [#permalink]

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Re: Steve works at an apple orchard and is paid by the bushel   [#permalink] 02 Apr 2018, 05:59
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