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1/r of a circular pizza has been eaten

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Intern
Joined: 24 Jan 2019
Posts: 26
Followers: 0

Kudos [?]: 2 [0], given: 29

1/r of a circular pizza has been eaten [#permalink]  28 Jan 2019, 02:46
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100% (02:37) correct 0% (00:00) wrong based on 1 sessions
$$\frac{1}{r}$$ 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) $$\frac{r}{rm}$$

b) $$\frac{(r-1)}{rm}$$

c) $$\frac{1}{m}$$

d) $$\frac{(m-1)}{rm}$$

e) $$\frac{(m-r)}{rm}$$
[Reveal] Spoiler: OA
Director
Joined: 20 Apr 2016
Posts: 961
WE: Engineering (Energy and Utilities)
Followers: 13

Kudos [?]: 747 [1] , given: 158

Re: Arithemtic- plugging in question [#permalink]  28 Jan 2019, 04:00
1
KUDOS
Explanation::

It may be confusing just feed some nos.

Let size of pizza be 8 and r = 4

then pizza eaten = 8/4 = 2 and pizza left = 6

now m =2 and each side will be 3

Therefore the fraction would be : 3/8

Now feed the value of r , m in the above equation , only option B will be correct.

Moreover algebraically:

Pizza eaten = 1/r

Pizza left = 1-1/r

Now pizza divided =(1-1/r)/m

fraction of the whole pizza =$$\frac{(r-1)}{rm}$$
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Re: Arithemtic- plugging in question   [#permalink] 28 Jan 2019, 04:00
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1/r of a circular pizza has been eaten

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