document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=948495>Question 948495</A>: <I><SPAN STYLE=\"word-break: break-all;\"> PhotoLab charges $9.00 for processing a 24-exposure roll of film and $12.00 for processing a 36-exposure roll.  After their class trip, Mr. Renkens' 8th grade class sent 22 rolls of film to be developed and paid $219 for processing.<BR>\n" );
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document.write( "A.  Write a system of equations to describe the situation.<BR>\n" );
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document.write( "B.  Find the number of rolls of 24-exposure and the number of 36-exposure film that were processed using either elimination or substitution.  Make sure to show your work for full credit. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #578990 by </B><A HREF=/tutors/aboutme.mpl?userid=macston><B>macston(5194)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=macston><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=macston><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=578990\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> X=number of 24-exposure rolls; Y=number of 35-exposure rolls<BR>\n" );
document.write( "SECTION A: SYSTEM OF EQUATIONS<BR>\n" );
document.write( "X+Y=22<BR>\n" );
document.write( "$9.00X+$12.00Y=$219<BR>\n" );
document.write( "SECTION B: SOLUTIONS<BR>\n" );
document.write( "Method 1-Substitution<BR>\n" );
document.write( "From equation1 above<BR>\n" );
document.write( "X=22-Y Substitute for X in second equation.<BR>\n" );
document.write( "$9.00X+$12.00Y=$219<BR>\n" );
document.write( "$9.00(22-Y)+$12.00Y=$219<BR>\n" );
document.write( "$198-$9.00Y+$12.00Y=$219 Subtract $198 from each side.<BR>\n" );
document.write( "$3.00Y=$21 Divide each side by $3.00<BR>\n" );
document.write( "Y=7 ANSWER 1: There were 7 rolls of 36-exposure film.<BR>\n" );
document.write( "X+Y=22<BR>\n" );
document.write( "X+7=22 Subtract 7 from each side.<BR>\n" );
document.write( "X=15 ANSWER 2: There were 15 rolls of 24-exposure film.<BR>\n" );
document.write( "CHECK:<BR>\n" );
document.write( "$9.00X+$12.00Y=$219<BR>\n" );
document.write( "$9.00(15)+$12.00(7)=$219<BR>\n" );
document.write( "$135+$84=$219<BR>\n" );
document.write( "$219=$219<BR>\n" );
document.write( "Method 2-Elimination<BR>\n" );
document.write( "X+Y=22<BR>\n" );
document.write( "$9.00X+$12.00Y=$219 Multiply first equation by $9.00 and subtract<BR>\n" );
document.write( "$9.00X+$9.00Y=$198<BR>\n" );
document.write( "$3.00Y=$21 Divide each side by $3.00<BR>\n" );
document.write( "Y=7 ANSWER 1: There were 7 rolls of 36-exposure film. <BR>\n" );
document.write( "Continue as in Method 1\r<BR>\n" );
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