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Problems
Contests
National and Regional Contests
USA Contests
MAA AMC
AMC 8
2008 AMC 8
13
13
Part of
2008 AMC 8
Problems
(1)
AMC 8 2008 Problem 13
Source:
11/28/2010
Mr. Harman needs to know the combined weight in pounds of three boxes he wants to mail. However, the only available scale is not accurate for weights less than
100
100
100
pounds or more than
150
150
150
pounds. So the boxes are weighed in pairs in every possible way. The results are
122
122
122
,
125
125
125
and
127
127
127
pounds. What is the combined weight in pounds of the three boxes?
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160
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170
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C
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187
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D
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195
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354
<span class='latex-bold'>(A)</span>\ 160\qquad <span class='latex-bold'>(B)</span>\ 170\qquad <span class='latex-bold'>(C)</span>\ 187\qquad <span class='latex-bold'>(D)</span>\ 195\qquad <span class='latex-bold'>(E)</span>\ 354
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160
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170
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187
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195
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354
factorial