document.write( "Question 941717: A shipment of TV sets, some weighing 30 kg each and the others weighing 50 kg each, has a total weight of 880 kg. If there are 20 TV sets all together, how many weigh 50 kg?
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Algebra.Com's Answer #574114 by macston(5194)![]() ![]() You can put this solution on YOUR website! Lighter TV sets=L Heavier sets =H \n" ); document.write( "L+H=20 \n" ); document.write( "30L+50H=880 \n" ); document.write( "Solve first equation for H and substitute in second \n" ); document.write( "H=20-L \n" ); document.write( "30L+50(20-L)=880 \n" ); document.write( "30L+1000-50L=880 \n" ); document.write( "-20L+1000=880 divide both sides by -20 \n" ); document.write( "(-20L+1000)/-20=880/-20 \n" ); document.write( "L-50=-44 add 50 to each side \n" ); document.write( "L-50+50=-44+50 \n" ); document.write( "L=6 ANSWER 1 there were 6 of the lighter sets \n" ); document.write( "H=20-L=20-6=14 ANSWER 2 there were 14 of the heavier sets \n" ); document.write( "CHECK: \n" ); document.write( "30 kg(L)+ 50 kg(H)= 880 kg \n" ); document.write( "30 kg (6) +50 kg (14)=880 kg \n" ); document.write( "180 kg + 700 kg=880 kg \n" ); document.write( "880 kg=880 kg \n" ); document.write( " \n" ); document.write( " |