document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=932897>Question 932897</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I am doing linear inequalities. I don't know how to set up the 2 equations to solve them.\r<BR>\n" );
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document.write( "The perimeter of a rectangle is 20 inches. The length of the rectangle is 2 more than the width. Find the rectangles dimensions.\r<BR>\n" );
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document.write( "The perimeter of a triangle is 40 cm. The second side is 7 cm longer than the first and the third side is 9 units longer than the first. Find the lengths of each side.\r<BR>\n" );
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document.write( "You pull 17 coins out of a jar which contains dimes and pennies. The total value of the coins is $1.16. How many dimes and how many pennies do you have.\r<BR>\n" );
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document.write( "Thanks </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #566450 by </B><A HREF=/tutors/aboutme.mpl?userid=rothauserc><B>rothauserc(4718)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rothauserc><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=rothauserc><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=566450\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1) Perimeter(P) of rectangle = 2l + 2w where l is length and w is width<BR>\n" );
document.write( "l = w+2<BR>\n" );
document.write( "20 = 2(w+2) + 2w<BR>\n" );
document.write( "20 = 2w +4 + 2w<BR>\n" );
document.write( "4w = 16<BR>\n" );
document.write( "w = 4 inches<BR>\n" );
document.write( "l = 6 inches<BR>\n" );
document.write( "2) let x be first side<BR>\n" );
document.write( "P of triangle is the sum of its three sides<BR>\n" );
document.write( "40 = x + x+7 + x+9<BR>\n" );
document.write( "40 = 3x + 16<BR>\n" );
document.write( "3x = 24<BR>\n" );
document.write( "x = 8<BR>\n" );
document.write( "first side is 8 cm<BR>\n" );
document.write( "second side is 15 cm<BR>\n" );
document.write( "third side is 17 cm<BR>\n" );
document.write( "3) d + p = 17 where d is number of dimes, p is number of pennies<BR>\n" );
document.write( ".10d + .01p = 1.16<BR>\n" );
document.write( "solve first equation for p<BR>\n" );
document.write( "p = 17 - d<BR>\n" );
document.write( "now substitute for p in second equation<BR>\n" );
document.write( ".10d + .01*( 17 - d) = 1.16<BR>\n" );
document.write( ".10d + .17 - .01d = 1.16<BR>\n" );
document.write( ".09d = .99<BR>\n" );
document.write( "d = 11<BR>\n" );
document.write( "p = 6<BR>\n" );
document.write( "there are 11 dimes and 6 pennies\r<BR>\n" );
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