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# A farmer sells buckets of onions for $2, buckets of potatoes for$4, a

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Joined: 02 Nov 2016
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A farmer sells buckets of onions for $2, buckets of potatoes for$4, a  [#permalink]

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31 Mar 2019, 08:16
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A farmer sells buckets of onions for $2, buckets of potatoes for$4, and buckets of squash for $5. How many buckets of squash did the farmer sell? (1) The farmer sold one bucket of onions. (2) In total, the farmer sold 7 buckets of produce for$33.

Source: McGraw-Hill's GMAT

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Re: A farmer sells buckets of onions for $2, buckets of potatoes for$4, a  [#permalink]

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31 Mar 2019, 09:21
1
Using Statement 2 alone, if the farmer sells 7 buckets for $33, then the average price per bucket is nearly$5. So almost all of the buckets sold must be $5 ones. Since onions and potatoes both sell for an even amount, for the total cost to be odd, the number of$5 buckets must be odd. The farmer did not sell 7 of the $5 buckets (that would give us too high a total), and did not sell only 3 of them (that would net$15, and the remaining four buckets could have sold for at most $16, which does not get us to$33), so must have sold 5 of them, for $25. Then the other two buckets would both need to be$4 buckets. So Statement 2 is sufficient.

The problem with the question though is that the two statements can't both be true. If the farmer sells, as Statement 1 tells us, one $2 bucket, there is no way Statement 2 can also be true, since you'd need the six remaining buckets to cost$31 in total, and six things each costing at most $5 can, in total, cost no more than$30.
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Re: A farmer sells buckets of onions for $2, buckets of potatoes for$4, a  [#permalink]

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31 Mar 2019, 10:10
A farmer sells buckets of onions for $2, buckets of potatoes for$4, and buckets of squash for $5. How many buckets of squash did the farmer sell? (1) The farmer sold one bucket of onions. (2) In total, the farmer sold 7 buckets of produce for$33.

Source: McGraw-Hill's GMAT

#1
no info about other buckets ; insufficient

#2
2x+5y+4z=33
and x+y+z= 7
so since sale is of 33$it means sum must of odd + even integers first maximize 5$ sales ; we see y=5 ; 25$; left 8$ so we can have 2 of z ; sufficient
for other values of 5,15 we do nt get value to match 33$IMOB Manager Joined: 24 Nov 2018 Posts: 107 Location: India GPA: 3.27 WE: General Management (Retail Banking) Re: A farmer sells buckets of onions for$2, buckets of potatoes for $4, a [#permalink] ### Show Tags 31 Mar 2019, 20:25 SajjadAhmad wrote: A farmer sells buckets of onions for$2, buckets of potatoes for $4, and buckets of squash for$5. How many buckets of squash did the farmer sell?

(1) The farmer sold one bucket of onions.