document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=41755>Question 41755</A>: <I><SPAN STYLE=\"word-break: break-all;\"> You are selling tickets to your school musical.  Adult tickets cost $5 and children's tickets cost $3.  You sell 1510 tickets and collect $6138.  Determine 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 #26965 by </B><A HREF=/tutors/aboutme.mpl?userid=tutorcecilia><B>tutorcecilia(2152)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=tutorcecilia><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=tutorcecilia><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=26965\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> This is a type of mixture problem. <BR>\n" );
document.write( "The formula to remember is:<BR>\n" );
document.write( "(rate of A)(amount of A) + (rate of B)(amount of B) = Total Value<BR>\n" );
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document.write( "List the known and unknown variables:<BR>\n" );
document.write( "Total number of tickets:  1510<BR>\n" );
document.write( "Total Value of tickets :  $6138<BR>\n" );
document.write( "Total Rate A  = $5 <BR>\n" );
document.write( "Amount A = \"how many of each type\" = x<BR>\n" );
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document.write( "Rate B = $3 <BR>\n" );
document.write( "Amount of B = \"how many of each type\" = 1510-x because:<BR>\n" );
document.write( "The Total Amount of tickets = 1510 =(Amount of A + Amount B)<BR>\n" );
document.write( "So, 1510 -  A = B <BR>\n" );
document.write( "or 1510 - B = A<BR>\n" );
document.write( "Depending on which part you are looking for<BR>\n" );
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document.write( "Putting it all together:<BR>\n" );
document.write( "(5)(x) + (3)(1510 - x) = 6138<BR>\n" );
document.write( "Simplifying:<BR>\n" );
document.write( "5x + 4530 – 3x =6138<BR>\n" );
document.write( "2x = 1608<BR>\n" );
document.write( "2x/2= 1608/2<BR>\n" );
document.write( "X = 804 or 804 adult tickets<BR>\n" );
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document.write( "1510 – 804 = 706 children tickets sold<BR>\n" );
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document.write( "Plugging x=804 back into the original equation: <BR>\n" );
document.write( "(5)(804) + (3)(1510 - 804) = 6138<BR>\n" );
document.write( "4020 + 3(706) = 6138<BR>\n" );
document.write( "4020 + 2118 = 6138<BR>\n" );
document.write( "6138 = 6138<BR>\n" );
document.write( "The answer checks out.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );