document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=92622>Question 92622</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A coin bank contains only pennies, dimes, and quarters. The value of the coins is $4.49. There are 5 more pennies than quarters. The number of dimes is 1.5 times the number of pennies. Find the number of each coin in the bank.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #67471 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=67471\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Write an equation for each sentence:<BR>\n" );
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document.write( "A coin bank contains only pennies (c), dimes (d), and quarters (q).<BR>\n" );
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document.write( "\"The value of the coins is $4.49.\"<BR>\n" );
document.write( " .01c + .10d + .25q = 4.49<BR>\n" );
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document.write( "\"There are 5 more pennies than quarters.\"<BR>\n" );
document.write( "q = c - 5; get everything in terms of c <BR>\n" );
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document.write( "\"The number of dimes is 1.5 times the number of pennies.\"<BR>\n" );
document.write( "d = 1.5c<BR>\n" );
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document.write( "Find the number of each coin in the bank.<BR>\n" );
document.write( " .01c + .10d + .25q = 4.49<BR>\n" );
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document.write( "Substitute (1.5p) for d and (p-5) for q:<BR>\n" );
document.write( ".01c + .10(1.5c) + .25(c-5) = 4.49<BR>\n" );
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document.write( ".01c + .15c + .25c - 1.25 = 4.49<BR>\n" );
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document.write( ".41c = 4.49 + 1.25<BR>\n" );
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document.write( ".41c = 5.74<BR>\n" );
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document.write( "c = 5.74/.41<BR>\n" );
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document.write( "c = 14 pennies<BR>\n" );
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document.write( "Find d:<BR>\n" );
document.write( "d = 1.5(14)<BR>\n" );
document.write( "d = 21 dimes<BR>\n" );
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document.write( "Find q:<BR>\n" );
document.write( "q = 14 - 5<BR>\n" );
document.write( "q = 9 quarters<BR>\n" );
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document.write( "Check: .01(14) + .10(21) + .25(9)<BR>\n" );
document.write( ".14 + 2.10 + 2.25 = 4.49<BR>\n" );
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