document.write( "Question 1190919: A cabinet is composed of two jointed parts. The left is 4/5 the volume of the right. The total volume of the cabinet is 36 cubic feet. What is the volume of each part of the cabinet? \n" ); document.write( "

Algebra.Com's Answer #822667 by ikleyn(52847) $\"\"$ $\"About$

You can put this solution on YOUR website!
.
\n" ); document.write( "A cabinet is composed of two jointed parts. The left is 4/5 the volume of the right.
\n" ); document.write( "The total volume of the cabinet is 36 cubic feet. What is the volume of each part of the cabinet?
\n" ); document.write( "~~~~~~~~~~~~~~~~\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "

\r\n" );
document.write( "Let x be the volume of the second part.\r\n" );
document.write( "\r\n" );
document.write( "Then the volume of the first part is .\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "From the condition, we have this equation\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "    x +  = 36  cubic feet   (the total volume).\r\n" );
document.write( "\r\n" );
document.write( "or\r\n" );
document.write( "\r\n" );
document.write( "     +  = 36\r\n" );
document.write( "\r\n" );
document.write( "     = 36\r\n" );
document.write( "\r\n" );
document.write( "     = 36\r\n" );
document.write( "\r\n" );
document.write( "    x =  = 5*4 = 20  cubic feet.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Thus, the second part volume is 20 cubic feet;  the first part volume is   = 16 cubic feet.    ANSWER\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "CHECK.  20 + 16 = 36  cubic feet, the total volume.    ! correct !\r\n" );
document.write( "

\r
\n" ); document.write( "\n" ); document.write( "Solved.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );