document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1164209>Question 1164209</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Susan cashed a check at the bank, but the teller made a mistake. He gave her as many dollars as he should have given her cents and as many cents as he should have given her dollars.  Susan took the money without realizing the error and spent $3.50. She then had twice as much money as the actual amount of the check. What was the amount of the check? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #788635 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=788635\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Susan cashed a check at the bank, but the teller made a mistake.<BR>\n" );
document.write( " He gave her as many dollars as he should have given her cents and as many cents as he should have given her dollars.<BR>\n" );
document.write( " Susan took the money without realizing the error and spent $3.50.<BR>\n" );
document.write( " She then had twice as much money as the actual amount of the check.<BR>\n" );
document.write( " What was the amount of the check?<BR>\n" );
document.write( ";\r<BR>\n" );
document.write( "\n" );
document.write( "let c = correct no. of cents<BR>\n" );
document.write( "let d = correct no. of dollars<BR>\n" );
document.write( "then<BR>\n" );
document.write( "(d+.01c) = amt of the check<BR>\n" );
document.write( "and<BR>\n" );
document.write( "(c+.01d) = amt paid by teller<BR>\n" );
document.write( ":<BR>\n" );
document.write( "c + .01d - 3.50 = 2(d+.01c)<BR>\n" );
document.write( "c + .01d - 3.50 = 2d + .02c<BR>\n" );
document.write( "c -.02c + .01d - 2d = 3.50. <BR>\n" );
document.write( ".98c - 1.99d = 3.50<BR>\n" );
document.write( "Set up as an equation that we can graph on our calc and check the table<BR>\n" );
document.write( "y=c; x=d<BR>\n" );
document.write( "y = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281.99x%2B3.50%29%2F.98 ALIGN=MIDDLE  ALT=\"%281.99x%2B3.50%29%2F.98\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "only one, two digit, integer solution<BR>\n" );
document.write( "d = 14, c = 32<BR>\n" );
document.write( "Actual check value: $14.32, teller paid $32.14<BR>\n" );
document.write( ":<BR>\n" );
document.write( ":<BR>\n" );
document.write( "See if that checks out<BR>\n" );
document.write( "$32.14<BR>\n" );
document.write( " -3.50<BR>\n" );
document.write( "-------<BR>\n" );
document.write( "$28.64 which is twice $14.32 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );