A company produces basketball cards in equal numbers of regular packs : GMAT Problem Solving (PS)
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# A company produces basketball cards in equal numbers of regular packs

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A company produces basketball cards in equal numbers of regular packs [#permalink]

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09 Apr 2009, 08:50
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A company produces basketball cards in equal numbers of regular packs of 16 and deluxe edition packs of 30. If, on a certain day, a company produces 241 cards, what is the smallest number of additional cards the company needs to produce in order to maintain its regular production practice?

A. 5,
B. 11
C. 21
D. 35
E. 46
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Re: A company produces basketball cards in equal numbers of regular packs [#permalink]

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09 Apr 2009, 21:49
5 it is
trial and error
pick and plug data
jeevanchand wrote:
A company produces basketball cards in equal numbers of regular packs of 16 and deluxe edition packs of 30. If, on a certain day, a company produces 241 cards, what is the smallest number of additional cards the company needs to produce in order to maintain its regular production practice?

Choices: 5,11,21,35,46

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Re: A company produces basketball cards in equal numbers of regular packs [#permalink]

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09 Apr 2009, 23:45
16x+30x=241+m
m=?

when x=6, 46*6=276
276=241+m
m=35
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Re: A company produces basketball cards in equal numbers of regular packs [#permalink]

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10 Apr 2009, 00:11
Should be 35. OA?

Let num of packs = x
16x + 30 x = 241 + some additional cards
46x = 241 + some additional cards

Divide 241/46 => remainder is 11 cards
These 11 cards should constitute atleast 1 extra pack for both regular and deluxe editions.
hence additional cards needed = 30 + 16 - 11 = 35.
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Re: A company produces basketball cards in equal numbers of regular packs [#permalink]

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11 Aug 2011, 11:49
A quick approach is as follows.

Knock out E right away, since E is odd, and an odd cannot be a sum of two even numbers.

Now since since the total should be the sum of same multiple of 16 and 30, we know it can't be greater than 8
then make this quick table:
x 16 30 Total
5 80 150 230
6 96 180 276 = 241 + 35
Re: A company produces basketball cards in equal numbers of regular packs   [#permalink] 11 Aug 2011, 11:49
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# A company produces basketball cards in equal numbers of regular packs

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