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1/r of a circular pizza has been eaten. If the rest of the pizza is di

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1/r of a circular pizza has been eaten. If the rest of the pizza is di  [#permalink]

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New post 30 Oct 2018, 01:52
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A
B
C
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E

Difficulty:

  25% (medium)

Question Stats:

86% (00:59) correct 14% (02:11) wrong based on 22 sessions

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1/r of a circular pizza has been eaten. If the rest of the pizza is divided into m equal slices, then each of these slices is what fraction of the whole pizza?


A. r/m

B. (r−1)/(mr)

C. 1/m

D. (m−1)/m

E. (m−r)/m

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Re: 1/r of a circular pizza has been eaten. If the rest of the pizza is di  [#permalink]

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New post 30 Oct 2018, 02:39
1/r of a circular pizza has been eaten. If the rest of the pizza is divided into m equal slices, then each of these slices is what fraction of the whole pizza?


A. r/m

B. (r−1)/(mr)

C. 1/m

D. (m−1)/m

E. (m−r)/m

Let size of pizza be 8
r= 4 so pizza eaten would be 2 , and left is 6
m=3 and each equal size would be 2

fraction of each size to whole pizza would be 2/8=1/4

only option B suffices the relation...
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Re: 1/r of a circular pizza has been eaten. If the rest of the pizza is di  [#permalink]

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New post 30 Oct 2018, 03:09
1/r of a circular pizza has been eaten. If the rest of the pizza is divided into m equal slices, then each of these slices is what fraction of the whole pizza?
Sol-
total area = πr^2
Eaten= 1/r (πr^2) = πr

left= total- eaten = πr(r-1)

m equal slices= (πr(r-1))/m

fraction of the whole pizza= (πr(r-1))/m*(πr^2) = r-1/mr (B)
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Re: 1/r of a circular pizza has been eaten. If the rest of the pizza is di &nbs [#permalink] 30 Oct 2018, 03:09
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1/r of a circular pizza has been eaten. If the rest of the pizza is di

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