document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1204475>Question 1204475</A>: <I><SPAN STYLE=\"word-break: break-all;\"> On a wall 78 2/5 cm wide, Peter is going to hang two pictures beside each other, each measuring 12 1/2 cm wide. He will leave 2 3/5 cm in between the pictures. He plans to use two nails to hang each picture, and will centre these nails leaving 4 1/2 cm between each pair. How far, in cm, from the end of the wall (on either side) will the first nail be placed? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #840785 by </B><A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><B>math_tutor2020(3817)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><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=840785\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=black size=3><BR>\n" );
document.write( "Answer: <font color=red size=4>29.4 cm</font><BR>\n" );
document.write( "This decimal value converts to the mixed number 29 & 2/5 which can be written as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=matrix%281%2C2%2C29%2C2%2F5%29 ALIGN=MIDDLE  ALT=\"matrix%281%2C2%2C29%2C2%2F5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Explanation\r<BR>\n" );
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document.write( "I'll convert each of the given mixed numbers into decimal form<BR>\n" );
document.write( "78 & 2/5 = 78.4<BR>\n" );
document.write( "12 & 1/2 = 12.5<BR>\n" );
document.write( "2 & 3/5 = 2.6<BR>\n" );
document.write( "4 & 1/2 = 4.5<BR>\n" );
document.write( "Each result is exact\r<BR>\n" );
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document.write( "We start with 78.4 cm to work with. Two paintings take up 2*12.5 = 25 cm of horizontal space. <BR>\n" );
document.write( "Then we also have the 2.6 cm gap between those paintings to have a total of 25+2.6 = 27.6 cm so far.\r<BR>\n" );
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document.write( "The remaining horizontal space is 78.4 - 27.6 = 50.8 cm<BR>\n" );
document.write( "Split this in half to get 25.4 cm buffer gaps on either side.\r<BR>\n" );
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document.write( "Refer to this diagram<BR>\n" );
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document.write( "The red segments are the two paintings.\r<BR>\n" );
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document.write( "Let point A be located at 0 on the number line.<BR>\n" );
document.write( "Point B is at 25.4 on the number line.<BR>\n" );
document.write( "C is at 25.4+12.5 = 37.9 on the number line.<BR>\n" );
document.write( "The midpoint of B and C is (B+C)/2 = (25.4+37.9)/2 = 31.65 which is the horizontal center location of the first painting.\r<BR>\n" );
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document.write( "Or we could start at B = 25.4 and move 12.5/2 = 6.25 cm to the right to arrive at 25.4+6.25 = 31.65\r<BR>\n" );
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document.write( "From 31.65 on the number line, move (4.5)/2 = 2.25 cm to the left to arrive at 31.65-2.25 = <font color=red size=4>29.4 cm</font> which is the location of the first nail.\r<BR>\n" );
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document.write( "A similar question is found here<BR>\n" );
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