document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=99603>Question 99603</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I need help!!\r<BR>\n" );
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document.write( "A wholesaler is offering two different package deals of roses and carnations to florists. One package contains 20 dozen roses and 34 dozen carnations for $504.00. The other package contains 15 dozen roses and 17 dozen carnations for $327.00. \r<BR>\n" );
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document.write( "Let x = cost of one dozen roses \r<BR>\n" );
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document.write( "Let y = cost of one dozen carnations \r<BR>\n" );
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document.write( "a. Write a system of equations for this problem. \r<BR>\n" );
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document.write( "b. Which equation can be multiplied by a coefficient to create an opposite coefficient? What is that value? \r<BR>\n" );
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document.write( "c. Solve this system for the cost of one dozen roses and the cost of one dozen carnations. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #72462 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=72462\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A wholesaler is offering two different package deals of roses and carnations to florists. One package contains 20 dozen roses and 34 dozen carnations for $504.00. The other package contains 15 dozen roses and 17 dozen carnations for $327.00. \r<BR>\n" );
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document.write( "Let x = cost of one dozen roses \r<BR>\n" );
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document.write( "Let y = cost of one dozen carnations \r<BR>\n" );
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document.write( "a. Write a system of equations for this problem. <BR>\n" );
document.write( "1st; 20x+34y= 504<BR>\n" );
document.write( "2nd: 15x+17y=327\r<BR>\n" );
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document.write( "b. Which equation can be multiplied by a coefficient to create an opposite coefficient? 2nd is the best choice<BR>\n" );
document.write( "What is that value? -2\r<BR>\n" );
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document.write( "c. Solve this system for the cost of one dozen roses and the cost of one dozen carnations.<BR>\n" );
document.write( "1st:  20x+34y=504<BR>\n" );
document.write( "3rd: -30x-34y=-654<BR>\n" );
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document.write( "Add 1st and 3rd to get:<BR>\n" );
document.write( "-10x = -150<BR>\n" );
document.write( "x = 15 (# of dozens of roses)<BR>\n" );
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document.write( "Substitute into 20x+34y=504 ot solve for y:<BR>\n" );
document.write( "20*15+34y = 504<BR>\n" );
document.write( "300 + 34y = 504<BR>\n" );
document.write( "34y = 204<BR>\n" );
document.write( "y = 6 (# of dozens of carnations)<BR>\n" );
document.write( "===============<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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