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Suppose five crates are weighed two at a time in all possible ways. the weights in pounds are 110, 112, 113, 114, 115, 116, 117, 118, 120, and 121. how much does each crate weigh?

 Sep 18, 2020
 #2
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Suppose five crates are weighed two at a time in all possible ways. the weights in pounds are 110, 112, 113, 114, 115, 116, 117, 118, 120, and 121. how much does each crate weigh?

 

Definitely not impossible lol.

 

1) Start by adding all those up.

2) How many times has each crate been included in total?   Divide by that number to the sum of all of the 5 weights.

3) What is the sum of the 2 lightest ones?  What is the sum of the 2 heaviest ones?  Subtract these from the total and you will have the middle weight.

4) Now juggle the numbers until you get the other 4   

            Hint: the lightest 2 will be   55-alpha, and 55+alpha

 

 

Have fun :)

 Sep 19, 2020
edited by Melody  Sep 19, 2020

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