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A company produces baseball cards in equal numbers of regular packs of

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

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New post 23 Jul 2018, 00:16
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Difficulty:

  75% (hard)

Question Stats:

46% (01:58) correct 54% (02:07) wrong based on 46 sessions

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A company produces baseball cards in equal numbers of regular packs of 16 and deluxe 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 baseball cards in equal numbers of regular packs of  [#permalink]

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New post 23 Jul 2018, 01:42
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Bunuel wrote:
A company produces baseball cards in equal numbers of regular packs of 16 and deluxe 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


One regular pack and one deluxe pack =16+30=46 cards..
Required =241...
So we are looking for Multiple of 46 just greater than 241....
46*5=230, so 46*6=276..
Extra cards =276-241=35

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

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New post 25 Jul 2018, 16:37
Bunuel wrote:
A company produces baseball cards in equal numbers of regular packs of 16 and deluxe 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


We can let the number of regular packs produced = n; notice that n = the number of deluxe packs. So we have:

16n + 30n = 241

46n = 241

n = 5 11/241

We see that we have 5 full packs for each type, with 11 cards left. Since one regular pack and one deluxe pack require a total of 46 cards, we see that we need 46 - 11 = 35 more cards.

Answer: D
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Re: A company produces baseball cards in equal numbers of regular packs of &nbs [#permalink] 25 Jul 2018, 16:37
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