document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1070675>Question 1070675</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the johnson family and the gonzalez family went to the movies together. the johnson family bought 4 adult tickets and 2 child tickets for a total of $37. the gonzalez family bought 3 adult tickets and 4 child tickets for a total of 39$ what is the price of each type of ticket (adult and child) at this theater ? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #685699 by </B><A HREF=/tutors/aboutme.mpl?userid=addingup><B>addingup(3677)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=addingup><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=addingup><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=685699\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Johnsons: 4a+2c = 37<BR>\n" );
document.write( "Gonzalez: 3a+4c = 39<BR>\n" );
document.write( "We can solve by substitution or elimination. I'll do it by elimination because I suspect that's what your teacher expects you to do:<BR>\n" );
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document.write( "4a+2c = 37 multiply all times -2 and add to the next equation<BR>\n" );
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document.write( "3a+4c = 39<BR>\n" );
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document.write( "-8a-4c = -74<BR>\n" );
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document.write( "-5a+0c = -35<BR>\n" );
document.write( "-5a = -35 divide both sides by -5, and remember that -/- = +<BR>\n" );
document.write( "a = 7 the adult tickets are 7.<BR>\n" );
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document.write( "Now we solve for c:<BR>\n" );
document.write( "4a+2c = 37 multiply all times 3<BR>\n" );
document.write( "3a+4c = 39 multiply all times -4 and add to the other equation<BR>\n" );
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document.write( "12a+6c = 111<BR>\n" );
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document.write( "-12a-16c = -156<BR>\n" );
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document.write( "0a-10c = -45<BR>\n" );
document.write( "-10c = -45<BR>\n" );
document.write( "c = 4.50 this is the cost of a child's ticket<BR>\n" );
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document.write( "Let's check:<BR>\n" );
document.write( "Johnson: 4(7)+2(4.5) = 37 Correct<BR>\n" );
document.write( "Gonzalez: 3(7)+4(4.5)= 39 Also correct.<BR>\n" );
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document.write( "john\r<BR>\n" );
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document.write( " </SPAN>\n" );
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