document.write( "Question 1045405: A set X with n(x)=525 is partitioned into subsets X_1, X_2, X_3, X_4, X_5, X_6. If n(X_1)=n(X_2)=n(X_3), n(X_4)=n(X_5)=n(X_6) and n(X_1)=6n(X_4), find n(X_1) \n" ); document.write( "

Algebra.Com's Answer #660820 by ikleyn(52906) $\"\"$ $\"About$

You can put this solution on YOUR website!
.
\n" ); document.write( "A set X with n(x)=525 is partitioned into subsets X_1, X_2, X_3, X_4, X_5, X_6.
\n" ); document.write( "If n(X_1)=n(X_2)=n(X_3), n(X_4)=n(X_5)=n(X_6) and n(X_1)=6n(X_4), find n(X_1)
\n" ); document.write( "~~~~~~~~~~~~~~~~~~~~~\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "

\r\n" );
document.write( "Let n(X_4) = n for brevity.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Then n(X_1) = n(X_2) = n(X_3) = 6n,\r\n" );
document.write( "\r\n" );
document.write( "     n(X_4) = n(X_5) = n(X_6) =  n.\r\n" );
document.write( "\r\n" );
document.write( "Hence, you have an equation\r\n" );
document.write( "\r\n" );
document.write( "3n + 3*(6n) = 525,   or\r\n" );
document.write( "\r\n" );
document.write( "21n = 525.\r\n" );
document.write( "\r\n" );
document.write( "It implies n =  = 25.\r\n" );
document.write( "\r\n" );
document.write( "Then n(X_1) = 6n = 150.\r\n" );
document.write( "\r\n" );
document.write( "Answer.  n(X_1) = 150.\r\n" );
document.write( "

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

\n" );