document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=155898>Question 155898</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A farmer intends to contruct a windscreen by planting trees in a quarter-mile row. His daughter points out that 44 fewer trees will be needed if they are planted 1 foot father apart. If her dad takes her advice, how many trees will be needed. A row starts and ends with a tree. (1 mile= 5,280 feet) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #114871 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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/cgi-bin/show-face.mpl?user=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=114871\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A farmer intends to construct a windscreen by planting trees in a quarter-mile row. His daughter points out that 44 fewer trees will be needed if they are planted 1 foot father apart. If her dad takes her advice, how many trees will be needed. A row starts and ends with a tree. (1 mile = 5,280 feet)<BR>\n" );
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document.write( "Find ft in 1/4 mile; <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F4 ALIGN=MIDDLE  ALT=\"1%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >*5280 = 1320 ft<BR>\n" );
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document.write( "Not including the extra tree on the end<BR>\n" );
document.write( "Let x = no of trees suggested<BR>\n" );
document.write( "Then<BR>\n" );
document.write( "(x+44) = original no. of trees proposed<BR>\n" );
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document.write( "Write expressions that calculate distance between the trees:(1320/no. of trees)<BR>\n" );
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document.write( "Original dist + 1 ft = suggested distance<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1320%2F%28x%2B44%29 ALIGN=MIDDLE  ALT=\"1320%2F%28x%2B44%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > + 1 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1320%2Fx ALIGN=MIDDLE  ALT=\"1320%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Multiply equation by common denominator x(x+44); results:<BR>\n" );
document.write( "1320x + x(x+44) = 1320(x+44)<BR>\n" );
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document.write( "1320x + x^2 + 44x = 1320x + 58080 <BR>\n" );
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document.write( "Arrange on the left as a quadratic equation:<BR>\n" );
document.write( "x^2 + 44x + 5280x - 5280x - 58080= 0<BR>\n" );
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document.write( "x^2 + 44x - 58080 = 0<BR>\n" );
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document.write( "This will actually factor, but you can use the quadratic formula if wish:<BR>\n" );
document.write( "(x-220)(x+264) = 0<BR>\n" );
document.write( "The positive solution<BR>\n" );
document.write( "x = 220 + 1 = 221 trees to save 44 trees<BR>\n" );
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document.write( "We added one because there is a tree on each end<BR>\n" );
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document.write( "Check solution by finding the distance between each tree<BR>\n" );
document.write( "1320/220 = 6 ft<BR>\n" );
document.write( "1320/264 = 5 ft (with 44 more trees) </SPAN>\n" );
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