document.write( "Question 597041: The smallest package weighed only 1/3 more than 1/2 the weight of the heaviest package. If the two packages combined weighed 100 kilograms, how much did the smaller package weigh? \n" ); document.write( "
Algebra.Com's Answer #378007 by lwsshak3(11628)\"\" \"About 
You can put this solution on YOUR website!
The smallest package weighed only 1/3 more than 1/2 the weight of the heaviest package. If the two packages combined weighed 100 kilograms, how much did the smaller package weigh?
\n" ); document.write( "**
\n" ); document.write( "let x=weight of smallest pkg
\n" ); document.write( "let y=weight of larger pkg
\n" ); document.write( "x+y=100
\n" ); document.write( "y=100-x
\n" ); document.write( "..
\n" ); document.write( "x=y/2+1/3*y/2
\n" ); document.write( "x=y/2+y/6
\n" ); document.write( "x=4y/6
\n" ); document.write( "x=4(100-x)/6
\n" ); document.write( "6x=400-4x
\n" ); document.write( "10x=400
\n" ); document.write( "x=40 kg(weight of smallest pkg)
\n" ); document.write( "
\n" ); document.write( "
\n" );