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# A farmer has two large plots of land that are equal in area.

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A farmer has two large plots of land that are equal in area. [#permalink]  22 Aug 2018, 08:32
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A farmer has two large plots of land that are equal in area. The first is divided into 16 parcels with n acres in each and the second is divided into 20 parcels with m acres in each.

 Quantity A Quantity B n m

A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.

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[Reveal] Spoiler: OA

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Re: A farmer has two large plots of land that are equal in area. [#permalink]  29 Aug 2018, 04:28
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Carcass wrote:
A farmer has two large plots of land that are equal in area. The first is divided into 16 parcels with n acres in each and the second is divided into 20 parcels with m acres in each.

 Quantity A Quantity B n m

A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.

Kudos for R.A.E

Since both the plots have equal, let it be X and we know the larger the denominator the smaller the number

QTY A = Area divided by 16 =$$\frac{X}{16}$$

QTY B = Area divided by 20 = $$\frac{X}{20}$$

Therefore QTY A > QTY B

** any number be also be taken in place of X, but the result will be the same as X is same for both plots
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Re: A farmer has two large plots of land that are equal in area.   [#permalink] 29 Aug 2018, 04:28
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