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Question
Submitted by amh100 on Tue, 2012-02-28 17:17
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You have 5 bales of hay. for some reason, instead of being weighed individually, they were weighed in all possible...

You have 5 bales of hay. for some reason, instead of being weighed individually, they were weighed in all possible combinations of 2 bales: bales 1 and 2, bales 1 and 3, bales 1 and 4, bales 1 and 5, bales 2 and 3, bales 2 and 4, and so on. the weights of these combinations were writtin down and arranged in numerical order, without keeping track of which weight matched which pair of bales. the weights in kilograms were: 80,82,83,84,85,86,87,88,90, and 91. your task is to find out how much each of the bales weighs.

i have the answer but i have no clue how to show my work. could you please help me

Answer
Submitted by Andrein on Tue, 2012-02-28 19:50
teacher rated 2 times
3
price: $4.00

39,41,43,44,47 (Complete answer with step-by-step instructions)

body preview (353 words)

xxxxx xx xxxx x xxxxx of hay that means xx xxxx 10 different xxxxxxxxxxxxx xxx xx xxx xxxxx xxxxxxxxxxxx we xxx each xxxx of hay exactly 4 xxxxxx xxxx means that if xx add xx all the weights xxx xxxxxx xx x xx xxxx have xxx xxx of the weights of each xxxxxxxxxx bale.
xx x xx + 83 + 84 x 85 x xx + 87 + xx + 90 + xx = 856 xx
xxxxx x xxx kg
So, b1 + xx x xx + b4 x xx = 214kg
.
xxx xx look over the xxxxxxxx xxxxxxx and xx notice xxxx xx xxxx have x xxx numbers. xxxx xxxxx xxxx xxx those 4 xxxxxxxxxxxx xx had xx even xxx xx xxx weight. xx xx least x xxxx has an odd weight xxx at xxxxx 1 xxxx has an even weight.
xx look now at xxx remaining xxxxx bales. xx one out of the xxxxxxxxx 3 xxxxx xxx xxxxxxxxx xxxx xxx other two xxxxxxx we have 1 odd and 2 even or 2 evens xxx x odd) xx

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