document.write( "Question 1155726: A store owner makes a bulk item purchase for $2250. She figures if she sells all but 25 of the items, each priced at $1 more than she bought them for, she will break even. How many items did she buy? \n" ); document.write( "
Algebra.Com's Answer #778400 by ikleyn(52803)\"\" \"About 
You can put this solution on YOUR website!
.
\n" ); document.write( "
\r\n" );
document.write( "\r\n" );
document.write( "Let \"n\" be the unknown number of items she bought.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Then the number of items she sold is (n-25).\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "The price she purchased each item was  \"2250%2Fn\".\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "The price she sold each item was  \"2250%2F%28n-25%29\".\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "The difference in prices per item is 1 dollar\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "    \"2250%2F%28n+-+25%29\" - \"2250%2Fn\" = 1.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Solve this equation to find n.\r\n" );
document.write( "\r\n" );
document.write( "For it, multiply both sides of the equation by n*(n-25);  then simplify and reduce the equation to standard form;\r\n" );
document.write( "then solve it EITHER using the quadratic function OR factoring (on your choice).\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "ANSWER.  n = 250.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "CHECK.   \"2250%2F%28250-25%29\" - \"2250%2F250\" = 10 - 9 = 1.    ! Correct !\r\n" );
document.write( "
\r
\n" ); document.write( "\n" ); document.write( "Solved.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );