document.write( "Question 1134848: (1) Harold has twice as much money as Nadine. Nadine has 3 times as much money as Sandra. If together they have $357, how much money does each of them have? \n" ); document.write( "
Algebra.Com's Answer #752337 by ikleyn(52777)\"\" \"About 
You can put this solution on YOUR website!
.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "            This problem can be solved in a very easy way,  practically  MENTALLY.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "            You only need to choose the major unknown variable by a rational way.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\r\n" );
document.write( "Let  x be the money Sandra has (in dollars).\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Then Nadine has  3x  dollars  and  Harold has  2*(3x) = 6x dollars.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Together, they have  x + 3x + 6x = 10x dollars, and this amount is exactly  357 dollars.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Hence,  x = \"357%2F10\" = 35.70 dollars.  It is how much Sandra has.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Then Nadine has three times as much, i.e  3*35.70 = 107.10 dollars\r\n" );
document.write( "\r\n" );
document.write( "and  Harold has twice of it, i.e. 2*107.10 = 214.20.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "CHECK.  35.70 + 107.10 + 214.20 = 357  dollars.    ! Correct !\r\n" );
document.write( "
\r
\n" ); document.write( "\n" ); document.write( "-----------------\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Ideally,  each problem you solve in school should teach you something.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Concretely,  this given problem teaches you on how to choose the major unknown to make the solution easier.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );