document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=154154>Question 154154</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0131139487/algebrahomeworkh></A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> #41<BR>\n" );
document.write( " Real estate <BR>\n" );
document.write( "A land investment  company purchased a parcel of land for $7200.After having sold all but 20 acres at a profit of $30 per acre over the original cost per acres, the company regained the entire cost of the parcel .How many acres were sold ?\r<BR>\n" );
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document.write( "#42<BR>\n" );
document.write( " Margin of profit <BR>\n" );
document.write( "The margin of profit of a company is the net income divided by the total sales. A company’s margin of profit increasing by 0.02 from last year. Last year the company sold its product at $3.00 each and had a net income of $4500.This year increasing the price of its product by $0.50 each, sold 2000 more, and had a net income of $7140.The company never has had a margin of profit greater than 0.15.How many of its product were sold last year and how many were sold this year?\r<BR>\n" );
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document.write( "i am  working on these problems, i just need some clarification in regards to answers ,and the proper approach to solve them.thank you </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #113478 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=113478\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A land investment company purchased a parcel of land for $7200.<BR>\n" );
document.write( "After having sold all but 20 acres at a profit of $30 per acre over the original cost per acre, the company regained the entire cost of the parcel.  How many acres were sold ?<BR>\n" );
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document.write( "Let number of acres purchased be \"x\".<BR>\n" );
document.write( "Original price per acre was 7200/x dollars.<BR>\n" );
document.write( "EQUATION:<BR>\n" );
document.write( "(x-20)[(7200/x)+30] = 7200<BR>\n" );
document.write( "(x-20)[(7200+30x)/x] = 7200<BR>\n" );
document.write( "(x-20)[7200+30x] = 7200x<BR>\n" );
document.write( "7200x + 30x^2 - 20*7200 - 600x = 7200x<BR>\n" );
document.write( "30x^2 -600x -20*7200 = 0<BR>\n" );
document.write( "x^2 - 20x - 20*240=0<BR>\n" );
document.write( "(x-80)(x+60) = 0<BR>\n" );
document.write( "x = 80 acres<BR>\n" );
document.write( "x-20 = 60 acres (# of acres sold)<BR>\n" );
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document.write( "#42<BR>\n" );
document.write( "Margin of profit <BR>\n" );
document.write( "The margin of profit of a company is the net income divided by the total sales. A company’s margin of profit increasing by 0.02 from last year. Last year the company sold its product at $3.00 each and had a net income of $4500.This year increasing the price of its product by $0.50 each, sold 2000 more, and had a net income of $7140.The company never has had a margin of profit greater than 0.15.How many of its product were sold last year and how many were sold this <BR>\n" );
document.write( "year? <BR>\n" );
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document.write( "Last Year DATA:<BR>\n" );
document.write( "margin = 4500/sales<BR>\n" );
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document.write( "This Year DATA:<BR>\n" );
document.write( "margin = 7140/6500<BR>\n" );
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document.write( "EQUATION:<BR>\n" );
document.write( "last year margin + 0.02 = this year sales<BR>\n" );
document.write( "[4500/s] + 0.02 = 7140/6500<BR>\n" );
document.write( "4500/s = 1.078462..<BR>\n" );
document.write( "s = 4500/1.0784<BR>\n" );
document.write( "s = 4172.61<BR>\n" );
document.write( "last year sales = 4172<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );