document.write( "Question 769883: weight of a tank full with water is 27.5kg.Its weight is 12.2kg when the tank is 1/4 full.Find weight of empty tank \n" ); document.write( "
Algebra.Com's Answer #469101 by josgarithmetic(39620)\"\" \"About 
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Let m = mass of the tank by itself (when empty).\r
\n" ); document.write( "\n" ); document.write( "Let w = mass of water in FULL tank.\r
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\n" ); document.write( "\n" ); document.write( "Full tank is \"m%2Bw=27.5\" kg.
\n" ); document.write( "Quarter-full tank is \"m%2Bw%2F4=12.2\" kg.\r
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\n" ); document.write( "\n" ); document.write( "Those are two equations using unknown variables m and w. Various ways possible to solve the system.\r
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\n" ); document.write( "\n" ); document.write( "\"m%2Bw%2F4=12.2+\",
\n" ); document.write( "\"4%28m%2Bw%2F4%29=4%2812.2%29\"
\n" ); document.write( "\"4m%2Bw=48.8\"\r
\n" ); document.write( "\n" ); document.write( "\"%284m%2Bw%29-%28m%2Bw%29=48.8-27.5\" which is just subtracting the Full equation from the Quarter-full equation.
\n" ); document.write( "\"3m=21.3\"
\n" ); document.write( "\"highlight%28m=7.1%29\" kg., the empty tank.\r
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\n" ); document.write( "\n" ); document.write( "-------
\n" ); document.write( "You can continue for finding w. Either original equation can be used.
\n" ); document.write( "\"m%2Bw=27.5\"
\n" ); document.write( "\"w=27.5-m\"
\n" ); document.write( "since we found m now,
\n" ); document.write( "\"w=27.5-7.1\"
\n" ); document.write( "\"highlight%28w=20.4%29\" kg. water when full.
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