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Chanse took his daughter's soccer team for Pizza,1/6 of thh [#permalink]

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22 Jul 2009, 05:04

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Chanse took his daughter's soccer team for Pizza,1/6 of thh team had exactly 1 slice each,1/6 of thh team had exactly 2 slices each,1/6 of thh team had exactly 3 slices each and the rest had atleast 4 slices each.If a whole pizza consists of 6 slices,did any of the players eat a whole pizzza?

1.there are 12 players on the team. 2.The players ate an avg. of 3 slices per person.

Please give explanations for your answers!
_________________

Re: did any of the players eat a whole pizzza? [#permalink]

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22 Jul 2009, 05:13

B. 1 is insuff . No need to explain. 2 is suff. 1/6 x 1 + 1/6 x 2 + 1/6 x 3 + 3/6 x 4 =3 slice average. If any person eats more than 4 slices. Average can not be 3.

Re: did any of the players eat a whole pizzza? [#permalink]

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22 Jul 2009, 06:22

maliyeci wrote:

B. 1 is insuff . No need to explain. 2 is suff. 1/6 x 1 + 1/6 x 2 + 1/6 x 3 + 3/6 x 4 =3 slice average. If any person eats more than 4 slices. Average can not be 3.

Hello could you explain why 1 is insuff.

It is said that some people had 1 slice, other 2, 3 and the remainig had 4. So no one clearly had more than 4 slices. Since a pizza consists of 6 slices, no one could have eaten a whole pizza. (are they allow to eat other person's slice?) I would have said 1 suff.

Re: did any of the players eat a whole pizzza? [#permalink]

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22 Jul 2009, 06:27

It does not say

Quote:

It is said that some people had 1 slice, other 2, 3 and the remainig had 4

it says

Quote:

Chanse took his daughter's soccer team for Pizza,1/6 of thh team had exactly 1 slice each,1/6 of thh team had exactly 2 slices each,1/6 of thh team had exactly 3 slices each and the rest had atleast 4 slices each.If a whole pizza consists of 6 slices,did any of the players eat a whole pizzza?

Re: did any of the players eat a whole pizzza? [#permalink]

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23 Jul 2009, 02:14

maliyeci wrote:

B. 1 is insuff . No need to explain. 2 is suff. 1/6 x 1 + 1/6 x 2 + 1/6 x 3 + 3/6 x 4 =3 slice average. If any person eats more than 4 slices. Average can not be 3.

absolutly not clear:(Can anybody explain in detail? The OA is B
_________________

Re: did any of the players eat a whole pizzza? [#permalink]

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24 Jul 2009, 01:38

Assume the number of players on the team to be X. From the given data: 1/6th of the team had 1 slice each ==> X/6 slices of pizza 1/6th of the team had 2 slices each ==> 2X/6 slices of pizza 1/6th of the team had 3 slices each ==> 3X/6 slices of pizza 3/6th(remaining members) of the team had at least 4 slices each ==> (3X*a)/6 slices of pizza, where a=4,5,6...

consider the second statement first: The players ate an avg. of 3 slices per person

based on what we worked out earlier, average slices per person can be calculated as: Avg Slice per person= Total Slices/No. of persons= [(X/6)+(2X/6)+(3X/6)+(3X.a/6)]/[(X/6)+(X/6)+(X/6)+(3X/6)]

Now lets assume that 3/6th of the players had 4 pizza slices each (a=4). Avg slice per person= X*[(1/6)+(2/6)+(3/6)+(12/6)]/[6X/6] = 3

Since the average works out to be true for a=4, we can conclude that the nobody on the team had more than 4 slices of pizza and hence no one ate the entire pizza

Statement 1 is insufficient as it does not give any information about how many slices the rest of the team had.