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# A meatman weighed some pieces of beef and recorded the

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A meatman weighed some pieces of beef and recorded the [#permalink]  28 Oct 2009, 20:45
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A meatman weighed some pieces of beef and recorded the weights by rounding the weights to integer. At least, was the difference between the real weights of the beef and the recorded weights greater than 10 pounds? Â (1) All of the pieces are less than 9.5 pounds (2) He weighted 18 pieces of beef.
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Re: can anyone explain me in details. [#permalink]  28 Oct 2009, 21:52
B

We want to find the difference between total weight and the rounded off weight.
So the weight of each piece is immaterial (as except the rounded portion, it is included in both figures).

The max you can round off in 1 piece is 0.5. So for the difference to be more than 10 pounds, there has to be at least 21 pieces each with 0.5 difference.

(A) weight of each piece less than 9.5 pounds. Not sufficient as we don't get total pieces
(B) 18 pieces. Less than 20, so difference is less than 10. Sufficient.
Re: can anyone explain me in details.   [#permalink] 28 Oct 2009, 21:52
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