document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1189424>Question 1189424</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A bleacher ticket for the high school baseball game costs $8. Ryan decides to take his sister to the game as a birthday present. He gives her 1/3 of the money he brought to buy two bleacher tickets and two hot dogs of equal cost. Later, Ryan decides to buy 2 bags of popcorn, which costs $6 total. If Ryan has $34 left. What was the price of one hot dog?<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #820785 by </B><A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><B>math_tutor2020(3817)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><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=820785\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=black size=3><BR>\n" );
document.write( "m = amount of money Ryan brought<BR>\n" );
document.write( "m/3 = one third of that amount\r<BR>\n" );
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document.write( "If Ryan gives 1/3 of his money to his sister, then he has 2/3 of it left.<BR>\n" );
document.write( "m - (m/3) = 1m - (1/3)m = (1-1/3)m = (2/3)m<BR>\n" );
document.write( "Note how the fractions 1/3 and 2/3 add to 1.\r<BR>\n" );
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document.write( "We subtract off $6 to represent buying the popcorn<BR>\n" );
document.write( "(2/3)m - 6<BR>\n" );
document.write( "That expression is the amount of money Ryan has left after buying everything mentioned earlier (tickets, hotdogs, popcorn). \r<BR>\n" );
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document.write( "We're told he has $34 left, so,<BR>\n" );
document.write( "(2/3)m - 6 = 34<BR>\n" );
document.write( "(2/3)m = 34+6<BR>\n" );
document.write( "(2/3)m = 40<BR>\n" );
document.write( "2m = 3*40<BR>\n" );
document.write( "2m = 120<BR>\n" );
document.write( "m = 120/2<BR>\n" );
document.write( "m = 60\r<BR>\n" );
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document.write( "Ryan brought $60 with him initially<BR>\n" );
document.write( "1/3 of this is 60/3 = 20 dollars<BR>\n" );
document.write( "$16 of which goes to the bleacher tickets (since 2*8 = 16). <BR>\n" );
document.write( "That leaves 20-16 = 4 dollars left over for the two hotdogs. \r<BR>\n" );
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document.write( "Therefore, each hotdog costs 4/2 = 2 dollars.\r<BR>\n" );
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document.write( "<font color=red>Answer:  2 dollars</font><BR>\n" );
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