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I need answer pls

 
 
Reply Mon 28 Jul, 2014 12:23 am
. Alan, Bill and Chris dug up 9
nuggets. Their weights were 154,
16, 19, 101, 10, 17, 13, 46 and 22
kgs. They took 3 each. Alan's
weighed twice as much as Bill's.
How heavy were Chris's nuggets?
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Type: Question • Score: 1 • Views: 1,343 • Replies: 9
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markr
 
  1  
Reply Tue 29 Jul, 2014 01:57 am
@Darius4God ,
272
Darius4God
 
  1  
Reply Tue 29 Jul, 2014 03:43 pm
@markr,
Thanks so much .i will appreciate if you explain how it was gotten
chai2
 
  1  
Reply Tue 29 Jul, 2014 03:46 pm
@Darius4God ,
Didn't he just tell you?
Darius4God
 
  1  
Reply Tue 29 Jul, 2014 03:53 pm
@chai2,
yes he did and thanks to him . I will like to know how it was gotten
chai2
 
  1  
Reply Tue 29 Jul, 2014 04:59 pm
@Darius4God ,
ohhhhh.....

I get it, you not only want the answer, you want us to actually DO your homework for you.

Do you think God would be pleased with that Darius?
Darius4God
 
  1  
Reply Tue 29 Jul, 2014 08:42 pm
@chai2,
I am here to learn please. I don't have home work
0 Replies
 
markr
 
  1  
Reply Tue 29 Jul, 2014 09:03 pm
@Darius4God ,
154 = 1 mod 3
101 = 2 mod 3
46 = 1 mod 3
22 = 1 mod 3
19 = 1 mod 3
17 = 2 mod 3
16 = 1 mod 3
13 = 1 mod 3
10 = 1 mod 3

Total = 398 = 2 mod 3

A + B + C = 398
2B + B + C = 398
3B + C = 398
C = 2 mod 3

Groups of 3 are going to be:
0 mod 3 (1 + 1 + 1),
1 mod 3 (1 + 1 + 2), or
2 mod 3 (1 + 2 + 2)

Since C = 2 mod 3, it must contain 101 and 17.

That leaves 154, 46, 22, 19, 16, 13, and 10.

Since A = 2B, 154 must be in A or C.
If 154 is in A, then A is at least 154+13+10 = 177 and B is at most 46+22+19=87.

Therefore, A is greater than twice B.
Therefore, 154 must be in C.
Therefore, C is 154+101+17 = 272.

No need to evaluate the C(9,3)*C(6,3)*C(3,3) = 1680 ways of distributing the nuggets among A, B, and C.
Darius4God
 
  1  
Reply Wed 30 Jul, 2014 03:03 am
@markr,
Thanks so much man
0 Replies
 
jackwilson
 
  0  
Reply Thu 14 Aug, 2014 09:59 pm
@markr,
Thanks markr very helpful thing you shared here.
0 Replies
 
 

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