2008 AMC 8 Problems/Problem 13

Problem

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 $100$ pounds or more than $150$ pounds. So the boxes are weighed in pairs in every possible way. The results are $122$ , $125$ and $127$ pounds. What is the combined weight in pounds of the three boxes?

$\textbf{(A)}\ 160\qquad \textbf{(B)}\ 170\qquad \textbf{(C)}\ 187\qquad \textbf{(D)}\ 195\qquad \textbf{(E)}\ 354$

Solution

Each box is weighed twice during this, so the combined weight of the three boxes is half the weight of these separate measures:

$\frac{122+125+127}{2} = \frac{374}{2} = \boxed{\textbf{(C)}\ 187}.$

Video Solution

https://www.youtube.com/watch?v=LKhOV9p4WiY ~David

2008 AMC 8 (Problems • Answer Key • Resources)
Preceded by Problem 12	Followed by Problem 14
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All AJHSME/AMC 8 Problems and Solutions

The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions.

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2008 AMC 8 Problems/Problem 13

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Problem

Solution

Video Solution

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