document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=3148>Question 3148</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a sum of money amounting to $3.55 consists of dimes and quarters. if there are 25 coins in all, how many quarter are there. how many dimes </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #1373 by </B><A HREF=/tutors/aboutme.mpl?userid=WannabeCAgirl83><B>WannabeCAgirl83(35)</B></A><img src=\"/images/stars/stars-07.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=WannabeCAgirl83><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=1373\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x = the amount of quarters (1 quarter = 0.25$)<BR>\n" );
document.write( "y = the amount of dimes (1 dime = 0.1$)\r<BR>\n" );
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document.write( "Step 1<BR>\n" );
document.write( "Finding  equations:<BR>\n" );
document.write( "A sum of money amounting $3.55 consists of dimes and quarters.<BR>\n" );
document.write( "0.25x + 0.1y = 3.55 &#8594; Eqn 1\r<BR>\n" );
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document.write( "If there are 25 coins in all, how many quarters are there, and how many dimes are there?<BR>\n" );
document.write( "x + y = 25 &#8594; Eqn 2\r<BR>\n" );
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document.write( "Step 2<BR>\n" );
document.write( "Isolating x in Eqn 2:<BR>\n" );
document.write( "x + y = 25 | - y on both sides<BR>\n" );
document.write( "x = 25 - y\r<BR>\n" );
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document.write( "Step 3<BR>\n" );
document.write( "Substituting x in Eqn 1 with the term found for x in step 2. Then isolating y:<BR>\n" );
document.write( "0.25x + 0.1y = 3.55<BR>\n" );
document.write( "0.25(25 -y) + 0.1y = 3.55<BR>\n" );
document.write( "6.25 - 0.25y + 0.1y = 3.55 | re-arranging<BR>\n" );
document.write( "6.25 - 0.15y= 3.55 | - 6.25 on both sides<BR>\n" );
document.write( "- 0.15y= - 2.7 | : - 0.15 on both sides<BR>\n" );
document.write( "y = 18 &#8594; There are 18 dimes.\r<BR>\n" );
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document.write( "Step 4<BR>\n" );
document.write( "Substituting y in Eqn 2 by the value found for y. Then again isolating x:<BR>\n" );
document.write( "x + y = 25<BR>\n" );
document.write( "x + 18 = 25 | - 18 on both sides<BR>\n" );
document.write( "x = 7 &#8594; There are 7 quarters.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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