document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=141263>Question 141263</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0130442631/algebrahomeworkh>prentic hall algebra 1</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> How do I solve uing two equations in two variable?\r<BR>\n" );
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document.write( "A shipment of TV sets, some weighing 30kg each and the others weighing 50 kg each, has a total weight of 880 kg.  If there are 20 sets all together, how many weigh 50 kg?\r<BR>\n" );
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document.write( "I got the first equation of: 880=30t+50k, but can't figure out the second equation. </SPAN>\n" );
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document.write( "A shipment of TV sets, some weighing 30kg each and the others weighing 50 kg each, has a total weight of 880 kg. If there are 20 sets all together, how many weigh 50 kg? <BR>\n" );
document.write( "I got the first equation of: 880=30t+50k, but can't figure out the second equation.<BR>\n" );
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document.write( "Let # of 30kg sets be t<BR>\n" );
document.write( "Let # of 50 kg sets be k<BR>\n" );
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document.write( "EQuATIONS:<BR>\n" );
document.write( "Quantity Equation: t + k = 20<BR>\n" );
document.write( "Weight Equation  :30t+50k = 880<BR>\n" );
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document.write( "Rearrange:<BR>\n" );
document.write( "3t + 5k = 88<BR>\n" );
document.write( "t = 20-k<BR>\n" );
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document.write( "Substitute to solve for K:<BR>\n" );
document.write( "3(20-k) + 5k = 88<BR>\n" );
document.write( "60 -3k + 5k = 88<BR>\n" );
document.write( "2k = 28<BR>\n" );
document.write( "k = 14 (# of 50 kg sets(<BR>\n" );
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document.write( "Substitute into t = 20-k to solve for \"t\":<BR>\n" );
document.write( "t = 20 -14 = 6 (# of 30 kg sets)<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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