document.write( "Question 1202921: Dhruv bought some white sugar and some brown sugar. He used an equal amount of white and brown sugar. He had 3/5 of the while sugar and 1/2 of the brown sugar left. What fraction of the sugar which Dhruv bought was used?\r
\n" ); document.write( "\n" ); document.write( "(1) 4/7\r
\n" ); document.write( "\n" ); document.write( "(2) 4/9\r
\n" ); document.write( "\n" ); document.write( "(3) 5/11\r
\n" ); document.write( "\n" ); document.write( "(4) 7/10
\n" ); document.write( " \n" ); document.write( "

Algebra.Com's Answer #838131 by ikleyn(52943) $\"\"$ $\"About$

You can put this solution on YOUR website!
.
\n" ); document.write( "Dhruv bought some white sugar and some brown sugar.
\n" ); document.write( "He used an equal amount of white and brown sugar.
\n" ); document.write( "He had 3/5 of the while sugar and 1/2 of the brown sugar left.
\n" ); document.write( "What fraction of the sugar which Dhruv bought was used?
\n" ); document.write( "(1) 4/7
\n" ); document.write( "(2) 4/9
\n" ); document.write( "(3) 5/11
\n" ); document.write( "(4) 7/10
\n" ); document.write( "~~~~~~~~~~~~~~~~~~\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "

\r\n" );
document.write( "Let  \"w\"  be the amount of the white sugar Dhruv bought.\r\n" );
document.write( "\r\n" );
document.write( "Let  \"b\"  be the amount of the brown sugar Dhruv bought.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "He used    and  .\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "From the problem, we have this equation\r\n" );
document.write( "\r\n" );
document.write( "     =     (\"He used an equal amount of white and brown sugar\"),\r\n" );
document.write( "\r\n" );
document.write( "or  0.4*w = 0.5*b.                         (1)\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "They want you calculate this ratio  \r\n" );
document.write( "\r\n" );
document.write( "    .                       (2)\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "From (1), express  w =  = 1.25*b  and substitute it into (2).  You will get\r\n" );
document.write( "\r\n" );
document.write( "    =  =  =  =  =  = .\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "ANSWER.  The fraction of the sugar Dhruv used was    of the total amount of the sugar.\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" );