document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=517217>Question 517217</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A restaurant manager wants to purchase 200 sets of dishes. One design costs $25 per set, while the other costs $45 per set. If the manager has $7,400 to spend, how many of each design should be ordered?<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 #344702 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=344702\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A restaurant manager wants to purchase 200 sets of dishes. One design costs $25 per set, while the other costs $45 per set. If the manager has $7,400 to spend, how many of each design should be ordered?\r<BR>\n" );
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document.write( "Let # of sets with 1st design be \"a\".<BR>\n" );
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document.write( "Let # of sets with 2nd design be \"b\".<BR>\n" );
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document.write( "Equations:<BR>\n" );
document.write( "a + b = 200<BR>\n" );
document.write( "25a + 45b = 7400<BR>\n" );
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document.write( "25a + 45(200-a) = 7400<BR>\n" );
document.write( "25a + 45*200 - 45a = 7400<BR>\n" );
document.write( "-20a = -1600<BR>\n" );
document.write( "a = 80 sets of design # 1<BR>\n" );
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document.write( "Solve for \"b\":<BR>\n" );
document.write( "b = 200-a<BR>\n" );
document.write( "b = 200-80<BR>\n" );
document.write( "b = 120 sets of design # 2<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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