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# In order to fulfill a local school’s request for x cakes, B parents

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Math Expert
Joined: 02 Sep 2009
Posts: 58297
In order to fulfill a local school’s request for x cakes, B parents  [#permalink]

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13 Dec 2015, 04:41
1
4
00:00

Difficulty:

55% (hard)

Question Stats:

65% (02:20) correct 35% (02:13) wrong based on 79 sessions

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In order to fulfill a local school’s request for x cakes, B parents agreed to each bake an equal number of cakes. If p of the parents did not bake any cakes, which of the following represents the additional number of cakes that each of the other parents had to bake in order for the school’s request for x cakes to be fulfilled?

A. px/B
B. px/(B(B - P))
C. x/(B - P)
D. p/(B - Px)
E. p/(B(B - p))

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Joined: 30 May 2014
Posts: 15
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Re: In order to fulfill a local school’s request for x cakes, B parents  [#permalink]

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14 Dec 2015, 06:20
Bunuel wrote:
In order to fulfill a local school’s request for x cakes, B parents agreed to each bake an equal number of cakes. If p of the parents did not bake any cakes, which of the following represents the additional number of cakes that each of the other parents had to bake in order for the school’s request for x cakes to be fulfilled?

A. px/B
B. px/(B(B - P))
C. x/(B - P)
D. p/(B - Px)
E. p/(B(B - p))

No of cakes each parent has to bake : x/B

No of parents did not bake cake = p
No of cakes that were not baked by p parents = p*x/B
No of parents has to bake additional cakes = B-p

additional number of cakes that each of the other parents had to bake in order for the school’s request for x cakes = px/(B(B - P))

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Joined: 02 Jun 2015
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Re: In order to fulfill a local school’s request for x cakes, B parents  [#permalink]

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14 Dec 2015, 17:48
If you pick numbers then the question is going to be easier:

X=100
B=10
P=5

100/10 = 10 cakes each on the first place
100/5 = 20 cakes after the number of parents were dropped
It results in a difference of 10 cakes.

The only answer that corresponds to this result is the letter B.
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Joined: 09 Mar 2018
Posts: 997
Location: India
Re: In order to fulfill a local school’s request for x cakes, B parents  [#permalink]

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16 Feb 2019, 08:13
Bunuel wrote:
In order to fulfill a local school’s request for x cakes, B parents agreed to each bake an equal number of cakes. If p of the parents did not bake any cakes, which of the following represents the additional number of cakes that each of the other parents had to bake in order for the school’s request for x cakes to be fulfilled?

A. px/B
B. px/(B(B - P))
C. x/(B - P)
D. p/(B - Px)
E. p/(B(B - p))

Lets substitute some easy numbers

x = 10
B = 5
p = 2

Now 3 parents need to make 10/3 cakes

substitute them back, to get

B
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Re: In order to fulfill a local school’s request for x cakes, B parents   [#permalink] 16 Feb 2019, 08:13
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