document.write( "Question 1148677: devide 240 in two parts in the ratio 5:7.
\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #770024 by ikleyn(52781)\"\" \"About 
You can put this solution on YOUR website!
.
\n" ); document.write( "\"highlight%28cross%28devide%29%29\" divide 240 in two parts in the ratio 5:7.
\n" ); document.write( "~~~~~~~~~~~~~~~~\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\r\n" );
document.write( "Let x be the shorter part; then the longer part is (240-x).\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "And the condition says that\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "    \"x%2F%28240-x%29\" = \"5%2F7\".\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Cross-multiply\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "    7x = 5*(240-x)\r\n" );
document.write( "\r\n" );
document.write( "    7x = 1200 - 5x\r\n" );
document.write( "\r\n" );
document.write( "    7x + 5x = 1200\r\n" );
document.write( "\r\n" );
document.write( "    12x     = 1200\r\n" );
document.write( "\r\n" );
document.write( "      x     = 1200/12 = 100.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "ANSWER.  The parts are  100  and  140.\r\n" );
document.write( "
\r
\n" ); document.write( "\n" ); document.write( "Solved.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "--------------\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "The shorter solution is possible, too (for more advanced students).\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\r\n" );
document.write( "From the condition, the parts are 5x and 7x, where \"x\" is the common measure of the parts.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Then 5x + 7x = 240,  12x = 240  and  x= 20.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "It implies that the parts are  100 and 140, exactly as in the previous solution.\r\n" );
document.write( "
\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "You can choose EITHER solution depending on your level and preferences.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );