document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=730849>Question 730849</A>: <I><SPAN STYLE=\"word-break: break-all;\"> help!!!! Problem:<BR>\n" );
document.write( "Joe is giving out some coupons for 3 free hours of canoe rental. melissa has 5 more coupons than joe to give out, and her coupons are for 4 free hours of canoe rental. if their coupons represent 90 free hours of canoe rental in all, how many coupons do they each have? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #446881 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=446881\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let\r<BR>\n" );
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document.write( "x = # of coupons Joe has\r<BR>\n" );
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document.write( "y = # of coupons Melissa has\r<BR>\n" );
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document.write( "We are told that \"melissa has 5 more coupons than joe to give out\", so we can say\r<BR>\n" );
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document.write( "y = x + 5\r<BR>\n" );
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document.write( "Joe has 3 free hour coupons. So if he has x of them, then he has 3x hours free total. \r<BR>\n" );
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document.write( "Similarly for Melissa, she has y 4-hr free coupons. This gives her a total of 4y free hours.\r<BR>\n" );
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document.write( "In total, they have 3x + 4y free hours. This total equals 90 hours (given), so...\r<BR>\n" );
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document.write( "3x+4y = 90 \r<BR>\n" );
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document.write( "Now use these equations to find x and y\r<BR>\n" );
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document.write( "3x+4y = 90 \r<BR>\n" );
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document.write( "3x+4(x+5) = 90 ... plug in y = x+5\r<BR>\n" );
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document.write( "3x+4x+20 = 90\r<BR>\n" );
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document.write( "7x+20 = 90\r<BR>\n" );
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document.write( "7x = 90-20\r<BR>\n" );
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document.write( "7x = 70\r<BR>\n" );
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document.write( "x = (70)/(7)\r<BR>\n" );
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document.write( "x = 10\r<BR>\n" );
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document.write( "y = x + 5\r<BR>\n" );
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document.write( "y = 10 + 5\r<BR>\n" );
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document.write( "y = 15\r<BR>\n" );
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document.write( "To sum things up, we found that\r<BR>\n" );
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document.write( "x = 10 and y = 15\r<BR>\n" );
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document.write( "So Joe has 10 coupons and Melissa has 15 coupons </SPAN>\n" );
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