document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=99394>Question 99394</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0321442334/algebrahomeworkh>beginning and intermediate algebra</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> A coin collector has 1.70 in dimes and nickels. She has two more dimes than nickels. How many nickels does she have </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #72315 by </B><A HREF=/tutors/aboutme.mpl?userid=timmy1729><B>timmy1729(23)</B></A><img src=\"/images/stars/stars-07.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=timmy1729><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=72315\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x be the number of nickels. So .05x is the amount of money in nickels and 0.10(x+2) is the amount of money in dimes since there are two more dimes than nickels. Think \"number of nickels + 2 = number of dimes. So, .10(x+2) + 0.05x = $1.70.<BR>\n" );
document.write( "To make this a lot easier, let's multiply it all by 100 to get rid of the decimal, which we will replace later.\r<BR>\n" );
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document.write( "10(x+2) + 5x = 170 That's much better isn't it?<BR>\n" );
document.write( "10x + 20 + 5x = 170 Use the distributive property.<BR>\n" );
document.write( "15x + 20 = 170  Add your x's<BR>\n" );
document.write( "15x = 150  Subtract the 20 from both sides, now divide<BR>\n" );
document.write( "x = 10  So there are 10 nickels. \r<BR>\n" );
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document.write( "Now, back to the original form:<BR>\n" );
document.write( "0.10(10 + 2) + 0.05(10) = 1.70<BR>\n" );
document.write( "0.10(12) + 0.05(10) = 1.70<BR>\n" );
document.write( "1.20 + .50 = 1.70. </SPAN>\n" );
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