document.write( "Question 1121728: Susan is 3 inches taller than her mom. Susan's sister is 2 1/3 feet
\n" ); document.write( " shorter than her and 8/13 the height of her mother. How tall is
\n" ); document.write( " Susan's mom? \n" ); document.write( "

Algebra.Com's Answer #737723 by ikleyn(52787) $\"\"$ $\"About$

You can put this solution on YOUR website!
.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "To solve the problem, you must have all dimensions in uniform / consistent units.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "In this case, inches are preferred units.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Also, you need to know that 1 foot = 12 inches.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "

\r\n" );
document.write( "    Let x be the mother height, in inches.\r\n" );
document.write( "\r\n" );
document.write( "    Then Susan's height is (x+3) inches.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "    Susan' sister is  feet shorter than Susan.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "     feet =  inches = 24 + 4 inches = 28 inches.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "    Hence, as the condition states, the Susan's sister is 28 inches shorter than Susan.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "    In other words, Susan's sister height is ((x+3) - 28) = (x-25) inches.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "    The equation, from the condition, is\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "        x - 25 = (8/13)*x.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "    ============>  13x - 13*25 = 8x  ====>  13x - 8x = 13*25  ====>  5x = 13*25  ====>  x = 13*5 = 65 inches = 5 ft and 5 inches.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "    Answer.  The mother's height is 5 ft and 5 inches.\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" );