document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=411851>Question 411851</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A travel agency offers two Boston outings. Plan A includes hotel accommodations for three nights and two pairs of baseball tickets worth $556.40. Plan B includes hotel accommodations for five nights and four pairs of baseball tickets worth $973.\r<BR>\n" );
document.write( "\n" );
document.write( "Let x represent the cost of one night's hotel accommodation and let y represent the cost of one pair of baseball tickets. Write a system of equations you could solve to find the cost of one night's hotel accommodation and one pair of baseball tickets.<BR>\n" );
document.write( "Solve the system.\r<BR>\n" );
document.write( "\n" );
document.write( "The yellow pages identify two different local electrical businesses. Business A charges $50 for a service call, plus an additional $39 per hour for labor. Business B charges $32 for a service call, plus an additional $45 per hour for labor. <BR>\n" );
document.write( "Let x represent the number of hours of labor and let y represent the total charge. Write a system of equations you could solve to find the length of a service call for which both businesses charge the same amount.<BR>\n" );
document.write( "Solve the system.<BR>\n" );
document.write( "Which company would you use? Why? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #289431 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=289431\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A travel agency offers two Boston outings. Plan A includes hotel accommodations for three nights and two pairs of baseball tickets worth $556.40. Plan B includes hotel accommodations for five nights and four pairs of baseball tickets worth $973.\r<BR>\n" );
document.write( "\n" );
document.write( "Let x represent the cost of one night's hotel accommodation and let y represent the cost of one pair of baseball tickets. Write a system of equations you could solve to find the cost of one night's hotel accommodation and one pair of baseball tickets.<BR>\n" );
document.write( "Solve the system.\r<BR>\n" );
document.write( "\n" );
document.write( "3x+2y=556.40......1<BR>\n" );
document.write( "5x+4y=973..........2<BR>\n" );
document.write( "multiply (1) by -2<BR>\n" );
document.write( "-6x-4y=-1112.80<BR>\n" );
document.write( "5x+4y=973<BR>\n" );
document.write( "add them up<BR>\n" );
document.write( "-x=-139.8<BR>\n" );
document.write( "x= 139.8 one night stay.<BR>\n" );
document.write( "plug value of y in (2)<BR>\n" );
document.write( "139.8*5+4y=973<BR>\n" );
document.write( "y = 68.50 price of ticket\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "The yellow pages identify two different local electrical businesses. Business A charges $50 for a service call, plus an additional $39 per hour for labor. Business B charges $32 for a service call, plus an additional $45 per hour for labor. <BR>\n" );
document.write( "Let x represent the number of hours of labor and let y represent the total charge. Write a system of equations you could solve to find the length of a service call for which both businesses charge the same amount.<BR>\n" );
document.write( "Solve the system.<BR>\n" );
document.write( "Which company would you use? Why?\r<BR>\n" );
document.write( "\n" );
document.write( "50+39x=32+45x<BR>\n" );
document.write( "6x=18<BR>\n" );
document.write( "x=3 hours </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );