document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1047705>Question 1047705</A>: <I><SPAN STYLE=\"word-break: break-all;\"> please help me with this question: <BR>\n" );
document.write( "The jar has 5 more quarters than it has dimes. If the value of the coins is &#8203;$6.15, how many quarters are in the&#8203; jar? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #663247 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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/cgi-bin/show-face.mpl?user=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=663247\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let q equal the number of quarters and let 25 * q equal the value of the quarters in cents.\r<BR>\n" );
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document.write( "for example, if q = 1, then the value is equal to 25 * 1 = 25 cents.\r<BR>\n" );
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document.write( "let d equal the number of dimes and let 10 * d equal the value of the dimes in cents.\r<BR>\n" );
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document.write( "you are given that the jar contains 5 more quarters than it has dimes.\r<BR>\n" );
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document.write( "this means that q = d + 5.\r<BR>\n" );
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document.write( "if you have 1 dime, than you have 6 quarters.<BR>\n" );
document.write( "if you have 2 dimes, then you have 7 quarters.<BR>\n" );
document.write( "you always have 5 more quarters than dimes, based on this equation.\r<BR>\n" );
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document.write( "the value in the jar is going to be 25 * q + 10 * d and that value is going to be equal to 6 dollars and 15 cents.\r<BR>\n" );
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document.write( "since 1 dollar is equal to 100 cents, then 6 dollars and 15 cents is equal to 615 cents.\r<BR>\n" );
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document.write( "your equation for that is 25 * q + 10 * d = 615\r<BR>\n" );
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document.write( "from the first equation, you know that q = d + 5, so you can replace q with d + 5 in the second equation to get:\r<BR>\n" );
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document.write( "25 * (d + 5) + 10 * d = 615\r<BR>\n" );
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document.write( "simplify this equation to get:\r<BR>\n" );
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document.write( "25 * d + 125 + 10 * d = 615\r<BR>\n" );
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document.write( "subtract 125 from both sides of the equation to get:\r<BR>\n" );
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document.write( "25 * d + 10 * d = 615 - 125\r<BR>\n" );
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document.write( "combine like terms to get:\r<BR>\n" );
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document.write( "35 * d = 490\r<BR>\n" );
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document.write( "solve for d to get:\r<BR>\n" );
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document.write( "d = 490 / 35 = 14\r<BR>\n" );
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document.write( "the jar contains 14 dimes.\r<BR>\n" );
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document.write( "since it contains 5 more quarters than dimes, the jar also contains 19 quarters.\r<BR>\n" );
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document.write( "19 * 25 + 14 * 10 = 475 + 140 = 615 cents\r<BR>\n" );
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document.write( "615 cents / 100 = 6 dollars and 15 cents which can be shown as 6.15\r<BR>\n" );
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document.write( " </SPAN>\n" );
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