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)\"\" \"About 
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\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
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