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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 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?

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.

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

gmatclubot

Re: basketball cards
[#permalink]
11 Aug 2011, 12:49

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