document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1194256>Question 1194256</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 6 pencils and 5 crayons are 25.7 inches. 7 pencils and 6 crayons are 30.2 inches. Each pencil is the same length as the other pencils, and each crayon is the same length as the other crayons. What is the length of 1 pencil? What is the length of 1 crayon?<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #826418 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13203)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=826418\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "The information in this problem makes it easier to solve using a non-standard algebraic method.<br><BR>\n" );
document.write( "(1) 7p+6c = 30.2<BR>\n" );
document.write( "(2) 6p+5c = 25.7<br><BR>\n" );
document.write( "Subtract the (2) from (1):<br><BR>\n" );
document.write( "(3) p+c = 4.5<br><BR>\n" );
document.write( "Multiply that by 5:<br><BR>\n" );
document.write( "(4) 5p+5c = 22.5<br><BR>\n" );
document.write( "Subtract (4) from (2):<br><BR>\n" );
document.write( "(5) p = 25.7-22.5 = 3.2<br><BR>\n" );
document.write( "Subtract (5) from (3):<br><BR>\n" );
document.write( "(6) c = 1.3<br><BR>\n" );
document.write( "ANSWERS:<BR>\n" );
document.write( "pencil: 3.2 inches<BR>\n" );
document.write( "crayon: 1.3 inches<br><BR>\n" );
document.write( "Note that formal algebraic solution corresponds to the following solution using common sense:<br><BR>\n" );
document.write( "7 pencils and 6 crayons have a total length of 30.2 inches<BR>\n" );
document.write( "6 pencils and 5 crayons have a total length of 25.7 inches<BR>\n" );
document.write( "therefore, 1 pencil and 1 crayon have a total length of 30.2-25.7 = 4.5 inches<BR>\n" );
document.write( "therefore, 5 pencils and 5 crayons have a total length of 5*4.5 = 22.5 inches<BR>\n" );
document.write( "therefore, 1 pencil has a length of 25.7-22.5 = 3.2 inches<BR>\n" );
document.write( "therefore, 1 crayon has a length of 4.5-3.2 = 1.3 inches<br><BR>\n" );
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