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The children totally donated 28 clothes to an institution.

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Senior Manager
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Kudos [?]: 28 [0], given: 0

The children totally donated 28 clothes to an institution. [#permalink] New post 21 Jan 2005, 13:17
The children totally donated 28 clothes to an institution. If the range of the numbers of the clothes denoted by each child is 2, how many children denoted exactly 3 clothes?
I:0
II:5
III:9
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 [#permalink] New post 21 Jan 2005, 13:28
Is the first word "Ten" instead of "The"?

And if this is the case then the answer is 9.
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 [#permalink] New post 21 Jan 2005, 13:49
Yes it is ten. Sorry for typo. How did u get 9?
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 [#permalink] New post 21 Jan 2005, 14:07
It can't be zero, since if so the question implies everybody donated four or more, other wise the range could not be two. However the minimum must be smaller than 3 since otherwise total clothes would be more than 30. You could test the other two out from here.

Or you could assume numbers of children who donated 1, 2, 3 clothes are a, b, c.

a+2b+3c=28
a+b+c=10
=>b+2c=18
since b+c<10 =>c>8 => Only option available is c=9.
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 [#permalink] New post 21 Jan 2005, 14:15
Of course the question doesn't seem to be very good. Since there are more than one answer to this question, although it didn't list those out.

(For example 3*2+6*3+1*4=28.)
  [#permalink] 21 Jan 2005, 14:15
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The children totally donated 28 clothes to an institution.

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