document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=133958>Question 133958</A>: <I><SPAN STYLE=\"word-break: break-all;\"> This is a capacity question.\r<BR>\n" );
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document.write( "when Memorial Hospital is filled to capacity, it has 18 more people in semiprivate rooms (two patients to a room) than in private rooms. The room rates are $200 per day for a private room and $150 per day for a semiprivate room.  If the total receipts for rooms is $17,400 per day when all are full, then how many rooms of each type does the hospital have? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #97963 by </B><A HREF=/tutors/aboutme.mpl?userid=scott8148><B>scott8148(6628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=scott8148><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=scott8148><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=97963\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let x=\"semiprivate rooms\" and y=\"private rooms\"\r<BR>\n" );
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document.write( "\"18 more people in semiprivate rooms (two patients to a room) than in private rooms\"<BR>\n" );
document.write( "__ 2x=y+18 __ 2x-18=y\r<BR>\n" );
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document.write( "\" total receipts for rooms is $17,400 per day when all are full\"<BR>\n" );
document.write( "__ 300x+200y=17400 __ 3x+2y=174\r<BR>\n" );
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document.write( "substituting __ 3x+2(2x-18)=174 __ 3x+4x-36=174 __ 7x=210 __ x=30\r<BR>\n" );
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document.write( "substituting __ y=2x-18 __ y=2(30)-18 __ y=42 </SPAN>\n" );
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