document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=255644>Question 255644</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A small shop owner counts his $1 and $10 bills at the end of a day. He finds that he has a total of 74 bills <BR>\n" );
document.write( "having a combined monetary value of $326. Letting x represent the number of $1 bills and y represent <BR>\n" );
document.write( "the number of $10 bills:\r<BR>\n" );
document.write( "\n" );
document.write( "(i)write a system of two linear equations to represent the given information.		<BR>\n" );
document.write( "(i)Find the number of bills of each denomination that he has.					 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #187854 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=187854\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A small shop owner counts his $1 and $10 bills at the end of a day. He finds that he has a total of 74 bills <BR>\n" );
document.write( "having a combined monetary value of $326. Letting x represent the number of $1 bills and y represent <BR>\n" );
document.write( "the number of $10 bills: <BR>\n" );
document.write( "(i)write a system of two linear equations to represent the given information.<BR>\n" );
document.write( "Quantity Equation: t + o = 74<BR>\n" );
document.write( "Value Equation:: 10t + 1o = 326<BR>\n" );
document.write( "-------------------------------------- <BR>\n" );
document.write( "(i)Find the number of bills of each denomination that he has. <BR>\n" );
document.write( "Subtract the 1st equation from the 2nd and solve for \"t\":<BR>\n" );
document.write( "9t = 252<BR>\n" );
document.write( "t = 28 (# of $10 bills)<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Substitute into t+o=74 to solve for \"o\":<BR>\n" );
document.write( "28+o = 74<BR>\n" );
document.write( "o = 46 (# of $1 bills)<BR>\n" );
document.write( "============================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );