document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=833187>Question 833187</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a total of 550 people attended a concert. floor tickets cost 2,000 each while balcony tickets cost 1,400 each. if a total of of 1,040,000 was collected. how many of each type of ticket were sold? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #502396 by </B><A HREF=/tutors/aboutme.mpl?userid=LinnW><B>LinnW(1048)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=LinnW><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=LinnW><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=502396\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Set f = number of floor tickets<BR>\n" );
document.write( "b = number of balcony tickets<BR>\n" );
document.write( "2000f + 1400b = 1040000<BR>\n" );
document.write( "f + b = 550<BR>\n" );
document.write( "solve for b by adding -f to each side<BR>\n" );
document.write( "b = 550 -f<BR>\n" );
document.write( "substitute (550 - f) for b in 2000f + 1400b = 1040000<BR>\n" );
document.write( "2000f + 1400(550 - f) = 1040000<BR>\n" );
document.write( "2000f + 770000 - 1400f = 1040000<BR>\n" );
document.write( "600f + 770000 = 1040000<BR>\n" );
document.write( "add -770000 to each side<BR>\n" );
document.write( "600f = 270000<BR>\n" );
document.write( "divide each side by 600<BR>\n" );
document.write( "f = 450<BR>\n" );
document.write( "Since b = 550 - f , b = 100<BR>\n" );
document.write( "Let's verify<BR>\n" );
document.write( "2000*450 + 1400*100 ?= 1040000<BR>\n" );
document.write( "This checks so<BR>\n" );
document.write( "f = 450 and b = 100<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );