document.write( "Question 1144214: The product of A and B are constant. If the value of A is decreased by 25% by how many percent must the value of B be increased?\r
\n" );
document.write( "\n" );
document.write( "A)-10%
\n" );
document.write( "B)-25%
\n" );
document.write( "C)-33 1/3%
\n" );
document.write( "D)-40% \n" );
document.write( "
Algebra.Com's Answer #765255 by ikleyn(52803)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( " \r\n" ); document.write( "\r\n" ); document.write( "We are given non-zero values A and B, as well as the non-zero values of A', B' such that\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " A' = 0.75*A and A*B = A'*B'.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Then \r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " A*B = (0.75*A)*B',\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "hence (canceling A in both sides)\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " B = 0.75*B'\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "and\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " B' =\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |