document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=433600>Question 433600</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1. One number is five times the other number. If the two numbers total 26, find the numbers.\r<BR>\n" );
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document.write( "2. A collection of nickels and dimes has a total value of $8.50. How many coins are there if there are three times as many nickels as dimes?\r<BR>\n" );
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document.write( "3. Find 2 consecutive numbers with a sum of 285. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #300570 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=300570\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1. One number is five times the other number. If the two numbers total 26, find the numbers.<BR>\n" );
document.write( "x = 5y<BR>\n" );
document.write( "x+y = 26<BR>\n" );
document.write( "----<BR>\n" );
document.write( "Substitute for \"x\" and solve for \"y\":<BR>\n" );
document.write( "5y+y = 26<BR>\n" );
document.write( "6y = 26<BR>\n" );
document.write( "y = 13/3 = 4 1/3 <BR>\n" );
document.write( "----<BR>\n" );
document.write( "Solve for \"x\":<BR>\n" );
document.write( "x = 5y<BR>\n" );
document.write( "x = 5(13/3) = 65/3 = 21 2/3<BR>\n" );
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document.write( " <BR>\n" );
document.write( "2. A collection of nickels and dimes has a total value of $8.50. How many coins are there if there are three times as many nickels as dimes?<BR>\n" );
document.write( "Equations:<BR>\n" );
document.write( "Quantity Eq: n = 3d<BR>\n" );
document.write( "Value: 5n + 10d = 850 cents<BR>\n" );
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document.write( "substitute for \"n\" and solve for \"d\":<BR>\n" );
document.write( "5(3d) + 10d = 850<BR>\n" );
document.write( "25d = 850<BR>\n" );
document.write( "d = 34 (# of dimes)<BR>\n" );
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document.write( "Solve for \"n\":<BR>\n" );
document.write( "n = 3d<BR>\n" );
document.write( "n = 3*34 = 102 (# of nickels)<BR>\n" );
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document.write( "3. Find 2 consecutive numbers with a sum of 285.<BR>\n" );
document.write( "1st: x<BR>\n" );
document.write( "2nd: x+1<BR>\n" );
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document.write( "Equation:<BR>\n" );
document.write( "x + x+1 = 285<BR>\n" );
document.write( "2x = 284<BR>\n" );
document.write( "x = 142<BR>\n" );
document.write( "x+1 = 143<BR>\n" );
document.write( "===============<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "===============<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );