document.write( "Question 1090954: Hi
\n" ); document.write( "One large tank holds 300litres more than the smaller tank.if the smaller tank is 2/3 full, it holds as much as the larger tank when the larger tank is half full.what is the capacity of each. \r
\n" ); document.write( "\n" ); document.write( "Thanks
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Algebra.Com's Answer #705405 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
Let \"+a+\" = capacity of the smaller tank in litres
\n" ); document.write( "Let \"+b+\" = capacity of the larger tank in litres
\n" ); document.write( "--------------------------------------------
\n" ); document.write( "(1) \"+b+=+a+%2B+300+\"
\n" ); document.write( "(2) \"+%282%2F3%29%2Aa+=+%281%2F2%29%2Ab+\"
\n" ); document.write( "----------------------------
\n" ); document.write( "Multiply both sides of (2) by \"+6+\"
\n" ); document.write( "(2) \"+4a+=+3b+\"
\n" ); document.write( "Plug (1) into (2)
\n" ); document.write( "(2) \"+4a+=+3%2A%28+a+%2B+300+%29+\"
\n" ); document.write( "(2) \"+4a+=+3a+%2B+900+\"
\n" ); document.write( "(2) \"+a+=+900+\"
\n" ); document.write( "and
\n" ); document.write( "(1) \"+b+=+a+%2B+300+\"
\n" ); document.write( "(1) \"+b+=+900+%2B+300+\"
\n" ); document.write( "(1) \"+b+=+1200+\"
\n" ); document.write( "----------------------
\n" ); document.write( "The smaller tank holds 900 litres
\n" ); document.write( "The larger tank holds 1200 liters
\n" ); document.write( "--------------------------------
\n" ); document.write( "check:
\n" ); document.write( "(2) \"+%282%2F3%29%2Aa+=+%281%2F2%29%2Ab+\"
\n" ); document.write( "(2) \"+%282%2F3%29%2A900+=+%281%2F2%29%2A1200+\"
\n" ); document.write( "(2) \"+600++=+600+\"
\n" ); document.write( "OK
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