document.write( "Question 638494: A lumberjack has 4n + 110 logs in a pile consisting of n layers. Each layer has two more logs than the layer directly above it. If the top layer has six logs, how many layers are there? \n" ); document.write( "

Algebra.Com's Answer #402236 by josmiceli(19441) $\"\"$ $\"About$

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The formula for the total logs in the pile of
\n" ); document.write( " $\"+n+\"$ layers with $\"6\"$ logs on top seems to
\n" ); document.write( "be $\"+%28n+%2B+5%29%2An+=+n%5E2+%2B+5n+\"$
\n" ); document.write( "-----------------------
\n" ); document.write( "Since there are $\"+4n+%2B+110+\"$ logs in the pile,
\n" ); document.write( " $\"+n%5E2+%2B+5n+=+4n+%2B+110+\"$
\n" ); document.write( " $\"+n%5E2+%2B+n+-+110+=+0+\"$
\n" ); document.write( "Looking at this, I get
\n" ); document.write( " $\"+%28+n+%2B+11+%29%2A%28+n+-+10+%29+=+0+\"$
\n" ); document.write( " $\"+n+=+10+\"$ ( reject the negative result )
\n" ); document.write( "There are 10 layers
\n" ); document.write( "check:
\n" ); document.write( " $\"+4n+%2B+110+=+4%2A10+%2B+110+\"$
\n" ); document.write( " $\"+4n+%2B+110+=+150+\"$
\n" ); document.write( "and
\n" ); document.write( " $\"+n%5E2+%2B+5n+=+100+%2B+50+\"$
\n" ); document.write( " $\"+n%5E2+%2B+5n+=+150+\"$ \n" ); document.write( "

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