document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=279151>Question 279151</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The manager of a movie theater found that Saturday's sales were $3675.  He knew that a total of 650 tickets were sold Saturday.  Adult tickets cost $7.50 and children's tickets cost $4.50.  Write equations to represent the number of tickets sold and the amount of money collected.  How many of each kind 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 #203015 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=203015\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The manager of a movie theater found that Saturday's sales were $3675. He knew that a total of 650 tickets were sold Saturday. Adult tickets cost $7.50 and children's tickets cost $4.50. Write equations to represent the number of tickets sold and the amount of money collected. How many of each kind of ticket were sold?<BR>\n" );
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document.write( "Equations:<BR>\n" );
document.write( "Quantity Eq:::: a + c = 650<BR>\n" );
document.write( "Value Equation:7.5a + 4.5c = 3675<BR>\n" );
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document.write( "Multiply thru 1st equation by 75:<BR>\n" );
document.write( "Multiply thru 2nd equation by 10:<BR>\n" );
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document.write( "75a + 75c = 75*650<BR>\n" );
document.write( "75a + 45c = 36750<BR>\n" );
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document.write( "Subtract 2nd from 1st and solve for \"c\":<BR>\n" );
document.write( "30c = 12000<BR>\n" );
document.write( "c = 400 (# of children's tickets sold)<BR>\n" );
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document.write( "Since a+c = 650<BR>\n" );
document.write( "a = 250 (# of adult tickets sold)<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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