document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=987464>Question 987464</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Alexa and Zack are solving the following problem: The number of miles on Car A is 50 miles more than the number of miles on Car B, and the number of miles on Car B is 30 miles more than the number of miles on Car C. All the cars travel 50 miles in 1 hour. After 1 hour, twice the number of miles Car A is 70 miles less than 3 times the number of miles on Car C. How many miles were there on Car B initially? Alexa assumes there are m miles on Car B. Zack assumes there are m miles on Car C. Will Zack's answer be the same as Alexa's answer? Explain.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #608275 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=608275\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Alexa and Zack are solving the following problem: <BR>\n" );
document.write( "The number of miles on Car A is 50 miles more than the number of miles on Car B,<BR>\n" );
document.write( "a = b+50<BR>\n" );
document.write( " and the number of miles on Car B is 30 miles more than the number of miles on Car C.<BR>\n" );
document.write( "b = c+30<BR>\n" );
document.write( "or<BR>\n" );
document.write( "c = b-30<BR>\n" );
document.write( " All the cars travel 50 miles in 1 hour.<BR>\n" );
document.write( "All travel at 50 mph<BR>\n" );
document.write( " After 1 hour, twice the number of miles Car A is 70 miles less than 3 times the number of miles on Car C.<BR>\n" );
document.write( "2(a+50) = 3(c+50) - 70<BR>\n" );
document.write( "2a + 100 = 3c + 150 - 70<BR>\n" );
document.write( "2a = 3c + 150 - 70 - 100<BR>\n" );
document.write( "2a = 3c - 20<BR>\n" );
document.write( "Replace a with (b+50), replace c with (b-30)<BR>\n" );
document.write( "2(b+50) = 3(b-30) - 20<BR>\n" );
document.write( "2b + 100 = 3b - 90 - 20<BR>\n" );
document.write( "2b + 100 = 3b - 110<BR>\n" );
document.write( "2b = 3b - 110 - 100<BR>\n" );
document.write( "2b = 3b - 210<BR>\n" );
document.write( "210 = 3b - 2b<BR>\n" );
document.write( "b = 210 mi car B initially<BR>\n" );
document.write( "then<BR>\n" );
document.write( "a = 210 + 50<BR>\n" );
document.write( "a = 260 car A initially<BR>\n" );
document.write( "and <BR>\n" );
document.write( "c = 210 - 30<BR>\n" );
document.write( "c = 180 mi Car C initially<BR>\n" );
document.write( " <BR>\n" );
document.write( "Alexa assumes there are m miles on Car B.\<BR>\n" );
document.write( " Zack assumes there are m miles on Car C.<BR>\n" );
document.write( " Will Zack's answer be the same as Alexa's  No </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );