document.write( "Question 1091229: A man bought some shirts for $720.00. If each shirt was $2.00 cheaper he would have received 4 more shirts. Calculate the number of shirts bought \n" ); document.write( "
Algebra.Com's Answer #705618 by htmentor(1343)\"\" \"About 
You can put this solution on YOUR website!
Let n = the number bought
\n" ); document.write( "Let p = the price of each shirt
\n" ); document.write( "Then p*n = 720 -> p = 720/n
\n" ); document.write( "Also (p-2)(n+4) = 720 -> (720/n-2)(n+4) = 720
\n" ); document.write( "720 + 720*4/n - 2n - 8 = 720
\n" ); document.write( "n^2 + 4n - 1440 = 0
\n" ); document.write( "This factors as:
\n" ); document.write( "(n+40)(n-36) = 0
\n" ); document.write( "Take the positive solution, n = 36
\n" ); document.write( "The number of shirts bought is 36.
\n" ); document.write( "
\n" ); document.write( "
\n" );