document.write( "Question 758664: MATH QUESTION---
\n" ); document.write( "A man bought some articles for $540. He lost 2 and sold the rest at $6 per article more than he gave for them. On the whole transaction he gained 10% on his outlay. How many articles did he buy?\r
\n" ); document.write( "\n" ); document.write( "Please help!
\n" ); document.write( "Thank You for Your Time :D \n" ); document.write( "

Algebra.Com's Answer #461642 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let $\"+n+\"$ = the number of articles he bought
\n" ); document.write( " $\"+540%2Fn+\"$ = the cost / article that he bought
\n" ); document.write( "He lost 2, so he had $\"+n+-+2+\"$ left
\n" ); document.write( "He sold the rest at $6 per article more than he gave for them
\n" ); document.write( " $\"+540%2Fn+%2B+6+\"$ per item is what he sold $\"+n+-+2+\"$ items for
\n" ); document.write( "-----------------
\n" ); document.write( "He gained 10% overall
\n" ); document.write( " $\"+540+%2B+.1%2A540+=+594+\"$
\n" ); document.write( "He ended up with $594
\n" ); document.write( " $\"+%28+540%2Fn+%2B+6+%29%2A%28+n+-+2+%29+=+594+\"$
\n" ); document.write( " $\"+540+%2B+6n+-+1080%2Fn+-+12+=+594+\"$
\n" ); document.write( " $\"+6n+=+594+-+528+%2B+1080%2Fn+\"$
\n" ); document.write( " $\"+6n%5E2+=+66n+%2B+1080+\"$
\n" ); document.write( " $\"+-n%5E2+%2B+11n+%2B+180+=+0+\"$
\n" ); document.write( "Use quadratic formula
\n" ); document.write( " $\"+n+=+%28-b+%2B-+sqrt%28+b%5E2+-+4%2Aa%2Ac+%29%29+%2F+%282%2Aa%29+\"$
\n" ); document.write( " $\"+a+=+-1+\"$
\n" ); document.write( " $\"+b+=+11+\"$
\n" ); document.write( " $\"+c+=+180+\"$
\n" ); document.write( "------------
\n" ); document.write( " $\"+n+=+%28-11+%2B-+sqrt%28+11%5E2+-+4%2A%28-1%29%2A180+%29%29+%2F+%282%2A%28-1%29%29+\"$
\n" ); document.write( " $\"+n+=+%28-11+%2B-+sqrt%28+121+%2B+720+%29%29+%2F+%28-2%29+%29+\"$
\n" ); document.write( " $\"+n+=+%28-11+%2B-+sqrt%28+841+%29%29+%2F+%28-2%29+%29+\"$
\n" ); document.write( " $\"+n+=+%28-11+%2B-+29%29+%2F+%28-2%29+%29+\"$
\n" ); document.write( " $\"+n+=+%28+-11+-+29+%29+%2F+%28-2%29+\"$
\n" ); document.write( " $\"+n+=+20+\"$
\n" ); document.write( "(Note that I can't use the (+) square root )
\n" ); document.write( "He bought 20 articles
\n" ); document.write( "check:
\n" ); document.write( "540/20 = 27
\n" ); document.write( "He lost 2 and had 18
\n" ); document.write( " $\"+18%2A%28+27+%2B+6+%29+=+18%2A33+\"$
\n" ); document.write( " $\"+18%2A33+=+594+\"$
\n" ); document.write( "This is 10% more that he paid originally
\n" ); document.write( "OK\r
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