Company X provides bottled water to its employees in 5 liter

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Company X provides bottled water to its employees in 5 liter [#permalink]

16 Dec 2012, 05:25

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Company X provides bottled water to its employees in 5 liter bottles, $2 each. At least how many 5L bottles must Company X buy monthly, so that new contract with $50 fixed monthly rate and $1 for 20L bottle each paid off? (Assume that no other costs apply)

(A) 28
(B) 29
(C) 30
(D) 31
(E) 32

Source: From my business.
(So I can't really decide over difficulty level here, maybe you would do it better after solving the problem.)

[Reveal] Spoiler: OA

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Re: Company X provides bottled water to its employees in 5 liter [#permalink]

16 Dec 2012, 21:39

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Company X provides bottled water to its employees in 5 liter bottles, $2 each. At least how many 5L bottles must Company X buy monthly, so that new contract with $50 fixed monthly rate and $1 for 20L bottle each paid off? (Assume that no other costs apply)

Number of 5L bottles = n
Correspondingly, to equate volume, number of 20L bottles = n/4
Now equating cost to solve:

2n = 50 + n/4
=> 8n = 200 + n
=> 7n = 200
=> n = 28.57

So 29 bottles, since a fraction of a bottle is no use and 28 bottles is going to result in a loss.

It is great you came up with an original problem (and that too based on your business), but I'd like to slightly rephrase in this question if I could: "...must Company X ~~buy~~ acquire monthly..."

You've mentioned no additional costs apply other than the ones you've mentioned, but the solution still has to assume the 5L bottles will be bought at $0 cost, which might throw some folks off.

Still, kudos for creating your own question. I'd agree with you that this is a 600-700 level question. Now if you introduced red and blue bottles and rate of pouring, it'd become a 700+ problem. :lol:

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Re: Company X provides bottled water to its employees in 5 liter [#permalink]

18 Dec 2012, 01:37

Ans:

let the no. of 5 liter bottles be x, so the no. of 20l bottles will be x/4 (to equate the vol.) since the total cost will be equal , 2x= 50+x/4 so x= 28.5 or 29. Answer is (B).
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Re: Company X provides bottled water to its employees in 5 liter [#permalink] 18 Dec 2012, 01:37

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Company X provides bottled water to its employees in 5 liter

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Company X provides bottled water to its employees in 5 liter

Company X provides bottled water to its employees in 5 liter

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