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# Monica planned her birthday party. She prepared 5 muffins for each of

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Math Expert
Joined: 02 Sep 2009
Posts: 64174
Monica planned her birthday party. She prepared 5 muffins for each of  [#permalink]

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04 Jul 2016, 07:54
00:00

Difficulty:

25% (medium)

Question Stats:

92% (02:11) correct 8% (00:57) wrong based on 18 sessions

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Monica planned her birthday party. She prepared 5 muffins for each of her guests and kept aside two additional muffins in case someone will want extra. After the party, it turned out that one of the guests didn't come but every one of the guests that did come ate six muffins and 3 muffins remained. How many guests did Monica plan on?

A. 3.
B. 4.
C. 5.
D. 6.
E. 7.

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Marshall & McDonough Moderator
Joined: 13 Apr 2015
Posts: 1674
Location: India
Re: Monica planned her birthday party. She prepared 5 muffins for each of  [#permalink]

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04 Jul 2016, 08:46
Let x be the number of guests.

Number of muffins prepared = 5x + 2
Number of muffins eaten + Number of muffins remaining = Number of muffins prepared
6(x - 1) + 3 = 5x + 2
6x - 3 = 5x + 2
x = 5

Manager
Joined: 21 Jun 2016
Posts: 68
Location: India
Re: Monica planned her birthday party. She prepared 5 muffins for each of  [#permalink]

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05 Jul 2016, 02:27
5N +2 = 3 + 6(N-1)
Solving N= 5
Hence C
Re: Monica planned her birthday party. She prepared 5 muffins for each of   [#permalink] 05 Jul 2016, 02:27