document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1195141>Question 1195141</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Javonne purchased some art supplies and paid for<BR>\n" );
document.write( "them with a $20 bill. The cashier handed her c<BR>\n" );
document.write( "dollars in change, which was a mistake. To fix the<BR>\n" );
document.write( "mistake, Javonne returned $1.00 to the cashier. lf<BR>\n" );
document.write( "she purchase price was twice the amount of change<BR>\n" );
document.write( "that Javonne was originally given, what is the value<BR>\n" );
document.write( "of c? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #827521 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=827521\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> i get the following.<BR>\n" );
document.write( "p = purchase price.<BR>\n" );
document.write( "c = original change<BR>\n" );
document.write( "c-1 = correct change<BR>\n" );
document.write( "since p = 2 * the original change, then p = 2c<BR>\n" );
document.write( "20 dollars was used to pay for the purchase price.<BR>\n" );
document.write( "20 minus the purchase price equals the change.<BR>\n" );
document.write( "therefore:<BR>\n" );
document.write( "c = 20 - p<BR>\n" );
document.write( "since p = 2c, you get:<BR>\n" );
document.write( "c = 20 - 2c<BR>\n" );
document.write( "solve for c to get:<BR>\n" );
document.write( "c = 20/3<BR>\n" );
document.write( "that's the original change.<BR>\n" );
document.write( "the corrected change is c - 1 = 20/3 - 3/3 = 17/3.<BR>\n" );
document.write( "you were asked what the value of c was.<BR>\n" );
document.write( "that's the original change.<BR>\n" );
document.write( "your solution is that the original change = c = 20/3 = 6.67 rounded to the nearest penny.<BR>\n" );
document.write( "to confirm 6.67 as the original change equal to c, i did the following:<BR>\n" );
document.write( "the purchase price was 14.33.<BR>\n" );
document.write( "the original change was 6.67<BR>\n" );
document.write( "20 - 6.67 = 13.3<BR>\n" );
document.write( "that's 1 dollar short of the purchase price.<BR>\n" );
document.write( "to correct, 1 dollar was given back.<BR>\n" );
document.write( "that made the purchase price equal to 20 - 5.67 = 14.33, correcting the mistake.<BR>\n" );
document.write( "let me know if you have any questions.<BR>\n" );
document.write( "theo </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );