document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=530447>Question 530447</A>: <I><SPAN STYLE=\"word-break: break-all;\"> oe has a collection of nickels and dimes that is worth $7.65. If the number of dimes was doubled and the number of nickels was increased by 35, the value of the coins would be $14.30. How many nickels and dimes does he have? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #350047 by </B><A HREF=/tutors/aboutme.mpl?userid=oberobic><B>oberobic(2304)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=oberobic><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=350047\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> With coin problems you have to keep track of the count of each coin and the value.<BR>\n" );
document.write( "n = number of nickels<BR>\n" );
document.write( "5n = value of the nickels in cents<BR>\n" );
document.write( "d = number of dimes<BR>\n" );
document.write( "10d = value of the times in cents<BR>\n" );
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document.write( "5n + 10d = 765 cents<BR>\n" );
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document.write( "2(10d) + 5(n+35) = 1430 cents<BR>\n" );
document.write( "20d + 5n + 165 = 1430<BR>\n" );
document.write( "20d + 5n = 1265<BR>\n" );
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document.write( "With two equations and two unknowns, you can solve the system of equations.<BR>\n" );
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document.write( "5n + 10d = 765<BR>\n" );
document.write( "5n + 20d = 1265<BR>\n" );
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document.write( "-10d = -500<BR>\n" );
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document.write( "d = 50<BR>\n" );
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document.write( "Substitute d = 50 to find n.<BR>\n" );
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document.write( "5n + 10d = 765<BR>\n" );
document.write( "5n + 10(50) = 765<BR>\n" );
document.write( "5n = 265<BR>\n" );
document.write( "n = 53<BR>\n" );
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document.write( "Check the values to make sure the above solution is the correct answer.<BR>\n" );
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document.write( "5(53) = 265<BR>\n" );
document.write( "10(50) = 500<BR>\n" );
document.write( "265 + 500 = 765 cents<BR>\n" );
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document.write( "Check the other equation, too.<BR>\n" );
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document.write( "2(10(50)) + 5(53+35) = 1430 ??<BR>\n" );
document.write( "2(500) + 265 + 175 = 1430<BR>\n" );
document.write( "Correct.<BR>\n" );
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document.write( "Answer: Joe has 53 nickels and 50 dimes.<BR>\n" );
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document.write( "Done. </SPAN>\n" );
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