document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=251752>Question 251752</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Would someone mind helping me on these please?\r<BR>\n" );
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document.write( "The perimeter of a rectangle is 74 m.  The length is 7 m more than twice the width.  Find the dimensions.<BR>\n" );
document.write( "What is the length? \r<BR>\n" );
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document.write( "Hockey teams receive 2 points when they win and 1 point when they tie.  One season, a team won a championship with 53 points.  They won 10 more games than they tied.  How many wins and how many ties did the team have?\r<BR>\n" );
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document.write( "The perimeter of a rectangle is 158 inches.  The length exceeds the width by 55 inches.  Find the length and the width.\r<BR>\n" );
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document.write( "The Everton College store paid $1270 for an order of 28 calculators.  The store paid $9 for each scientific calculator.  The others, all graphing calculators, cost the store $55 each.  How many of each type of calculator was ordered? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #183491 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=183491\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The perimeter of a rectangle is 74 m. The length is 7 m more than twice the width. Find the dimensions.<BR>\n" );
document.write( "What is the length?<BR>\n" );
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document.write( "Equation:<BR>\n" );
document.write( "Perimeter = 2(Length + Width)<BR>\n" );
document.write( "74 = 2((2W+7) + W)<BR>\n" );
document.write( "37 = 3W = 7<BR>\n" );
document.write( "3W = 30<BR>\n" );
document.write( "W = 10 m (width)<BR>\n" );
document.write( "Length = L = 2W+7 = 2*30+7 = 67 m (length)<BR>\n" );
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document.write( "Hockey teams receive 2 points when they win and 1 point when they tie. One season, a team won a championship with 53 points. They won 10 more games than they tied. How many wins and how many ties did the team have? <BR>\n" );
document.write( "Equations:<BR>\n" );
document.write( "Quantity Equation: W = T + 10<BR>\n" );
document.write( "Points Equation:  2W + T = 53<BR>\n" );
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document.write( "Substitute for W and solve for \"T\":<BR>\n" );
document.write( "2(T+10) + T = 53<BR>\n" );
document.write( "3T = 33<BR>\n" );
document.write( "T = 11 (# of ties)<BR>\n" );
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document.write( "Since W = T + 10, W = 11+10 = 21 (# of wins)<BR>\n" );
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document.write( "The perimeter of a rectangle is 158 inches. The length exceeds the width by 55 inches. Find the length and the width.<BR>\n" );
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document.write( "Follow the method in # 1 above.<BR>\n" );
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document.write( "The Everton College store paid $1270 for an order of 28 calculators. The store paid $9 for each scientific calculator. The others, all graphing calculators, cost the store $55 each. How many of each type of calculator was ordered?<BR>\n" );
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document.write( "Equations:<BR>\n" );
document.write( "Value Eq: 9S + 55G2 = 1270<BR>\n" );
document.write( "Quantity Eq: S + G = 28<BR>\n" );
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document.write( "S = 28 - G<BR>\n" );
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document.write( "Substitute for S and solve for \"C\":<BR>\n" );
document.write( "9(28-G) + 55G = 1270<BR>\n" );
document.write( "252 -9G + 55G = 1270<BR>\n" );
document.write( "46G = 1018<BR>\n" );
document.write( "G = 22.13..<BR>\n" );
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document.write( "Comment: The value should be a whole number<BR>\n" );
document.write( "as G is a count of graphing calculators.<BR>\n" );
document.write( "Check you posted values.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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