Question 1198570
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The given information is faulty; with it there is no solution in whole numbers.<br>
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<br>
The total number of logs is (average number of logs per layer) times (number of layers); that number is 8k+5:<br>
{{{(k(8+k+7)/2)=8k+5}}}
{{{(k(k+15)/2)=8k+5}}}
{{{k^2+15k=16k+10}}}
{{{k^2-k-10=0}}}<br>
The two solutions to that quadratic equation are both irrational numbers.<br>
ANSWER: The problem is faulty.<br>