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# The average weight of 15 items is 8kg. The least average

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CEO
Joined: 21 Jan 2007
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The average weight of 15 items is 8kg. The least average [#permalink]

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30 Oct 2007, 07:29
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

The average weight of 15 items is 8kg. The least average weight of 5 items of these 15 is 5 kg. If no item weighs less than 5kg, what is the maximum number of items that can have the same weight?

3
5
6
10
14

Can some tell me what exactly is "least average" weight in different words?
Manager
Joined: 28 Sep 2007
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30 Oct 2007, 08:06
My guess would be 14. the 5 weighing 5 kg......then 5,5,5,5,5,5,5,5,5,40

25kg + 95kg/15= 8kg

make sense?
CEO
Joined: 21 Jan 2007
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Location: New York City
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Kudos [?]: 861 [0], given: 4

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28 Nov 2007, 07:35
jingy77 wrote:
My guess would be 14. the 5 weighing 5 kg......then 5,5,5,5,5,5,5,5,5,40

25kg + 95kg/15= 8kg

make sense?

ok so there is 2 constraints

first: the lowest 5 elements have an avg of 5kg = 25kg total
second: no element is less than 5kg, meaning the elements can weigh 5kg.

can u explain how we can the maximum # of elements that weigh the same?
28 Nov 2007, 07:35
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