document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=299576>Question 299576</A>: <I><SPAN STYLE=\"word-break: break-all;\">  Translate the problem into a pair of linear equations in two variables. Solve the equations using either elimination or substitution. State your answer for the specified variable.\r<BR>\n" );
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document.write( "A child's bank contains $2.24 in pennies and nickels. If the number of pennies is 40 less than 3 times the number of nickels, then how many pennies are in the bank?<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #215239 by </B><A HREF=/tutors/aboutme.mpl?userid=dabanfield><B>dabanfield(803)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=dabanfield><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=215239\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Translate the problem into a pair of linear equations in two variables. Solve the equations using either elimination or substitution. State your answer for the specified variable. <BR>\n" );
document.write( "A child's bank contains $2.24 in pennies and nickels. If the number of pennies is 40 less than 3 times the number of nickels, then how many pennies are in the bank?\r<BR>\n" );
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document.write( "Let x be the number of nickels and y the number of pennies. We have then:\r<BR>\n" );
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document.write( "1.) y = 3*x - 40\r<BR>\n" );
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document.write( "Since each nickle is worth .05 and each penny .01 we also have:\r<BR>\n" );
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document.write( "2.) .05*x + .01*y = 2.24 \r<BR>\n" );
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document.write( "Multiplying both sides by 100 we have:\r<BR>\n" );
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document.write( "5x + y = 224\r<BR>\n" );
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document.write( "From the above we have y = -5x + 224\r<BR>\n" );
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document.write( "We can substitute -5x + 224 for y in equation 1.) and solve for x.\r<BR>\n" );
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document.write( "Once we have the value of x we can find y = -5x + 224.<BR>\n" );
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