document.write( "Question 936063: A man bought a number of horses for $900. After training them, he sold all but one to a dude ranch owner at a profit of $110 each, thereby realizing a profit of 100% on the whole transaction. How many horses did he buy? \n" ); document.write( "
Algebra.Com's Answer #569509 by josmiceli(19441)\"\" \"About 
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He bought the horses for $900 and made a profit of
\n" ); document.write( "100%, so he sold the horses for $1800
\n" ); document.write( "----------------
\n" ); document.write( "Let \"+n+%2B+1+\" = the number of horses he bought
\n" ); document.write( "\"+n+\" = the number of horses he sold
\n" ); document.write( "-----------------
\n" ); document.write( "The price he paid for each horse was:
\n" ); document.write( "\"+900+%2F+%28+n+%2B+1+%29+\"
\n" ); document.write( "------------------
\n" ); document.write( "The amount he received for each horse when he sold them was:
\n" ); document.write( "\"+1800+%2F+n+\"
\n" ); document.write( "------------------
\n" ); document.write( "His profit for each horse was:
\n" ); document.write( "\"+1800%2Fn+-+900%2F%28+n%2B1+%29+=+110+\"
\n" ); document.write( "Multiply both sides by \"+n%2A%28+n%2B1+%29+\"
\n" ); document.write( "\"+1800%2A%28+n%2B1+%29+-+900n+=+110%2An%2A%28+n%2B1+%29+\"
\n" ); document.write( "\"+1800n+%2B+1800++-+900n+=+110n%5E2+%2B+110n+\"
\n" ); document.write( "\"+110n%5E2+-+790n+-+1800+=+0+\"
\n" ); document.write( "\"+11n%5E2+-+79n+-+180+=+0+\"
\n" ); document.write( "Use the 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+=+11+\"
\n" ); document.write( "\"+b+=+-79+\"
\n" ); document.write( "\"+c+=+-180+\"
\n" ); document.write( "
\n" ); document.write( "\"+n+=+%28+79+%2B-+sqrt%28+6241+%2B+7920+%29%29+%2F+22+\"
\n" ); document.write( "\"+n+=+%28+79+%2B-+sqrt%28+14161+%29%29+%2F+22+\"
\n" ); document.write( "\"+n+=+%28+79+%2B+119+%29+%2F+22+\"
\n" ); document.write( "\"+n+=+198%2F22+\"
\n" ); document.write( "\"+n+=+9+\"
\n" ); document.write( "\"+n+%2B+1+=10+\"
\n" ); document.write( "He bought 10 horses
\n" ); document.write( "check:
\n" ); document.write( "\"+1800%2Fn+-+900%2F%28+n%2B1+%29+=+110+\"
\n" ); document.write( "\"+1800%2F9+-+900%2F%28+9%2B1+%29+=+110+\"
\n" ); document.write( "\"+200+-+90+=+110+\"
\n" ); document.write( "\"+110+=+110+\"
\n" ); document.write( "OK\r
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