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# Susan finds approximately f four-leaf clovers in every square meter of

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Math Expert
Joined: 02 Sep 2009
Posts: 46217
Susan finds approximately f four-leaf clovers in every square meter of [#permalink]

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22 Sep 2017, 00:47
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Difficulty:

35% (medium)

Question Stats:

69% (00:37) correct 31% (00:40) wrong based on 34 sessions

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Susan finds approximately f four-leaf clovers in every square meter of a field. If the field is a rectangle m meters long and w meters wide, what is the best approximation of the number of four-leaf clovers she finds?

(A) fmw

(B) fm^2*w^2

(C) f^2/(mw)

(D) f/(mw)

(E) mw/f

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Susan finds approximately f four-leaf clovers in every square meter of [#permalink]

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22 Sep 2017, 10:12
Bunuel wrote:
Susan finds approximately f four-leaf clovers in every square meter of a field. If the field is a rectangle m meters long and w meters wide, what is the best approximation of the number of four-leaf clovers she finds?

(A) fmw

(B) fm^2*w^2

(C) f^2/(mw)

(D) f/(mw)

(E) mw/f

IMO A.

"f four-leaf clovers in every square meter of a field" can be written as "f per every square meters" or $$\frac{f}{m^2}$$

The Area of the field -> $$A=wide*length=w*m$$.

Approximation of the four leaf clovers = $$\frac{f}{m^2}$$ * $$(wm)m^2$$ $$= fwm$$.
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Re: Susan finds approximately f four-leaf clovers in every square meter of [#permalink]

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23 Sep 2017, 14:41
Bunuel wrote:
Susan finds approximately f four-leaf clovers in every square meter of a field. If the field is a rectangle m meters long and w meters wide, what is the best approximation of the number of four-leaf clovers she finds?

(A) fmw

(B) fm^2*w^2

(C) f^2/(mw)

(D) f/(mw)

(E) mw/f

Let's plug in numbers. Note: avoid 1.

Let f = 2 , m= 2 , w =3

number of four-leaf clovers = 2 * 2 * 3 = 12

A) fmw = 12...............Keep

(B) fm^2*w^2 ........... 2 * 2^2 * 3^2 > 12.......Do not continue.........Eliminate

(C) f^2/(mw) ............2^2 / (2*3) < 12.......Do not continue.........Eliminate

(D) f/(mw).....same as C .........Eliminate

(E) mw/f........same as C.........Eliminate

Re: Susan finds approximately f four-leaf clovers in every square meter of   [#permalink] 23 Sep 2017, 14:41
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