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# A confectioner decides to sell all of his pastry due to the coming

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Math Expert
Joined: 02 Sep 2009
Posts: 64240
A confectioner decides to sell all of his pastry due to the coming  [#permalink]

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21 Jun 2016, 01:57
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Difficulty:

25% (medium)

Question Stats:

86% (02:25) correct 14% (02:00) wrong based on 21 sessions

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A confectioner decides to sell all of his pastry due to the coming holiday. His pastry goods are equally divided among a group of 28 regular customers. If only 49 customers come to the bakery, each one will receive 6 less pastry goods. How much pastry does the confectioner needs to sell?

A. 392.
B. 412.
C. 432.
D. 502.
E. 522.

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Re: A confectioner decides to sell all of his pastry due to the coming  [#permalink]

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21 Jun 2016, 02:20

Solution 1 : Given that number of pastries are equally divided in to 28 groups, so the answer should be a multiple of 28. And in the given choices, only 392 is divisible by 28 with remainder 0(Make sure others are no multiples of 28). So this is good enough to stop here, but to verify, 392/28 = 14 and 392/49 = 8, which confirms the second part of question, 14-8 , 6 pastry short of each customer.

Solution 2 : Going mathematical, expressing in the equation form, Let x be the number of pastries and , n be the number of customers in 28 groups.
So, x = 28 * n,
as per second statement, x = 49 * (n - 6 )
Solve the above 2 for n and then we get x as 392.

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Re: A confectioner decides to sell all of his pastry due to the coming  [#permalink]

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21 Jun 2016, 08:49
1
Bunuel wrote:
A confectioner decides to sell all of his pastry due to the coming holiday. His pastry goods are equally divided among a group of 28 regular customers. If only 49 customers come to the bakery, each one will receive 6 less pastry goods. How much pastry does the confectioner needs to sell?

A. 392.
B. 412.
C. 432.
D. 502.
E. 522.

Pastry is divided in 28 customers equally. So,total number of pastry must be a multiple of 28 or 4*7

Only option A satisfies the condition, and hence is the answer
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Re: A confectioner decides to sell all of his pastry due to the coming   [#permalink] 21 Jun 2016, 08:49