document.write( "Question 980589: A small bag of cement weighs x kg. A large bag of cement weighs four times as heavy as the small bag. A medium bag of cement weighs 5kg lighter than the large bag. Two small bags plus a large bag weigh the same as two medium bags. Find the weight of each bag. \n" ); document.write( "
Algebra.Com's Answer #601728 by macston(5194) You can put this solution on YOUR website! . \n" ); document.write( "S=small bag=x; M=medium bag=4x-5kg; L=large bag=4x \n" ); document.write( ". \n" ); document.write( "2S+L=2M \n" ); document.write( "2x+4x=2(4x-5kg) \n" ); document.write( "6x=8x-10kg \n" ); document.write( "10kg=2x \n" ); document.write( "5kg=x \n" ); document.write( ". \n" ); document.write( "S=x=5 kg ANSWER 1: The small bag weighs 5 kg. \n" ); document.write( "M=4x-5kg=15 kg ANSWER 2: The medium bag weighs 15 kg. \n" ); document.write( "L=4x=4(5 kg)=20 kg ANSWER 3: The large bag weighs 20 kg. \n" ); document.write( ". \n" ); document.write( "CHECK: \n" ); document.write( "Two small bags plus a large bag weigh the same as two medium bags \n" ); document.write( "2S+L=2M \n" ); document.write( "2(5kg)+20kg=2(15kg) \n" ); document.write( "10kg+20kg=30kg \n" ); document.write( "30kg=30kg \n" ); document.write( " |