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A farmer used 1,034 acres of land for beans, wheat, and corn in the ra

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matteoconti
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A farmer used 1,034 acres of land for beans, wheat, and corn in the ra [#permalink] A farmer used 1,034 acres of land for beans, wheat, and corn in the ra   Updated on: 13 Jan 2015, 03:48
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A farmer used 1,034 acres of land for beans, wheat, and corn in the ratio of 5 : 2 : 4, respectively. How many acres were used for corn?

(A) 188
(B) 258
(C) 376
(D) 470
(E) 517
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C

Originally posted by matteoconti on 12 Jan 2015, 18:46.
Last edited by Bunuel on 13 Jan 2015, 03:48, edited 1 time in total.
Renamed the topic, edited the question, added the OA and moved to PS forum.
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Re: A farmer used 1,034 acres of land for beans, wheat, and corn in the ra [#permalink] A farmer used 1,034 acres of land for beans, wheat, and corn in the ra   12 Jan 2015, 19:50
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Hi matteoconti,

We're told that the ratio of beans:wheat:corn is 5:2:4

This means that for every 5 acres of beans, we have 2 acres of wheat and 4 acres of corn. This also means that the TOTAL acres of everything will be a multiple of 5+2+4 = 11.

There are several different ways that we can deal with the math involved:

Dividing 1034/11 gives us 94, which means that we have

5(94) acres of beans
2(94) acres of wheat
4(94) acres of corn

Since the question asks us for the total acres of corn, the answer is 4(94) = 376

Final Answer:
Show Spoiler
C


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Re: A farmer used 1,034 acres of land for beans, wheat, and corn in the ra [#permalink] A farmer used 1,034 acres of land for beans, wheat, and corn in the ra   12 Jan 2015, 21:36
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matteoconti wrote:
A farmer used 1,034 acres of land for beans, wheat, and corn in the ratio of 5 : 2 : 4, respectively. How many acres were used for corn?
(A) 188
(B) 258
(C) 376
(D) 470
(E) 517


Using unitary method:
Out of a total of 11 parts (5 + 2 + 4 = 11) of land, 4 parts were used for corn.
So out of a total of 1034 acres, (4/11)*1034 = 376 acres will be used for corn.

Answer (C)
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A farmer used 1,034 acres of land for beans, wheat, and corn in the ra [#permalink] A farmer used 1,034 acres of land for beans, wheat, and corn in the ra   13 Jan 2015, 03:56
matteoconti wrote:
A farmer used 1,034 acres of land for beans, wheat, and corn in the ratio of 5 : 2 : 4, respectively. How many acres were used for corn?

(A) 188
(B) 258
(C) 376
(D) 470
(E) 517


5 part B
2 part W
4 part C
total 11 parts for 1034 Acres
So 1 part = 1034/11 = 94 Acres
Corn = 4 parts = 4 * 94 = 376 Acres
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Re: A farmer used 1,034 acres of land for beans, wheat, and corn in the ra [#permalink] A farmer used 1,034 acres of land for beans, wheat, and corn in the ra   13 Jan 2015, 14:32
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Hi All,

I mentioned in my original post that there were a variety of ways that you could do the math. By converting the math to decimal format, and using the answer choices as reference, you can actually avoid a lot of calculations altogether.

Since corn represents 4/11 of the total crops, we have 4/11 = .3636 repeating

Since the total (acres) is just a little over 1,000, we can estimate the answer....

1,000(.3636) = about 363

Since we rounded down, we're looking for an answer that's a little bigger than 363 - there's only one answer that matches.

Final Answer:
Show Spoiler
C


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Re: A farmer used 1,034 acres of land for beans, wheat, and corn in the ra [#permalink] A farmer used 1,034 acres of land for beans, wheat, and corn in the ra   15 Jan 2015, 02:40
Answer \(= \frac{1034}{5+2+4} * 4 = 376\)

Answer = C
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A farmer used 1,034 acres of land for beans, wheat, and corn in the ra [#permalink] A farmer used 1,034 acres of land for beans, wheat, and corn in the ra   09 May 2016, 13:20
consider 5x acres of land used for bean
consider 2x acres of land used for wheat
consider 4x acres of land used for corn
Total given is 1034 acres
11x =1034
x = 94
land used for corn = 4 * 94 = 376
correct option - C

Alternate solution
As we know that ratios have a common factor shared between them, we can directly consider
\(\frac{4}{11}\) * 1034 = 376 acres
correct option - C
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Re: A farmer used 1,034 acres of land for beans, wheat, and corn in the ra [#permalink] A farmer used 1,034 acres of land for beans, wheat, and corn in the ra   31 Jul 2020, 06:46
Total land used = 1034

land for Corn = 1034 * 4/ 11 = 376

Answer C
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Re: A farmer used 1,034 acres of land for beans, wheat, and corn in the ra [#permalink] A farmer used 1,034 acres of land for beans, wheat, and corn in the ra   16 Sep 2022, 07:15
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Re: A farmer used 1,034 acres of land for beans, wheat, and corn in the ra [#permalink]
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