SOLUTION: A wood man stuck 8k+5log of wood in a pile such that the pile contain k layet .the top layer contain 8logs,each layer contain 1logs than the layer immediately above it . find the v

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Question 1198570: A wood man stuck 8k+5log of wood in a pile such that the pile contain k layet .the top layer contain 8logs,each layer contain 1logs than the layer immediately above it . find the value of k .find the total number of logs
Found 3 solutions by ankor@dixie-net.com, greenestamps, ikleyn:
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
A wood man stuck 8k+5 logs of wood in a pile such that the pile contain k layers the top layer contain 8 logs, each layer contain 1 log more than the layer immediately above it.
find the value of k.
Each layer adds one log after the top layer so there are 6 layers (+5)
:
find the total number of logs
6 * 8 = 48, plus 5 would give you 53 logs
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I think I messed this one up, adding one to each layer after the top one
would be 8 + 9 + 10 + 11 etc, the total of this = 8k + 5, k is the no. layers
therefore 8k + 5 = total, then 8k = total - 5, I don't how you would get a multiple of 8 with that.
If it was 8k + 6 however,
8k + 6 = 8 + 9 + 10 + 11
8k + 6 = 38
8k = 38 - 6
8k = 32
k = 4
:
Hope this helps, CK

Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


The given information is faulty; with it there is no solution in whole numbers.

logs in top layer: 8
number of layers: k
logs in bottom layer (each layer has 1 more log than the layer above; so 8, plus 1 (k-1) times): 8+1(k-1)=k+7

The total number of logs is (average number of logs per layer) times (number of layers); that number is 8k+5:

%28k%288%2Bk%2B7%29%2F2%29=8k%2B5
%28k%28k%2B15%29%2F2%29=8k%2B5
k%5E2%2B15k=16k%2B10
k%5E2-k-10=0

The two solutions to that quadratic equation are both irrational numbers.

ANSWER: The problem is faulty.

Answer by ikleyn(52788) About Me  (Show Source):
You can put this solution on YOUR website!
.

Ignore the post by ankor@dixie-net.com,  since his solution is wrong.

To make sure that it is wrong,  simply  CHECK  his answer.


The problem is  FATALLY  INCORRECT, as tutor @greenestamps explained to you,
and with given numbers  CAN  NOT  be solved :  it describes the situation,  which  NEVER  may happen.