document.write( "Question 165151This question is from textbook
\n" ); document.write( ": investments: An investor has a total of 25,000 deposited into three diffrent accounts, which earn annual interest rate of 8%, 6%, and 4%. The amount deposited in the 8% account is twice the amount in the 6% account. If the three accounts earns total annual interest of $1520, how much money is deposited into each account? \n" ); document.write( "
Algebra.Com's Answer #121746 by padmameesala(42)\"\" \"About 
You can put this solution on YOUR website!
Let the amounts in three different accounts be x,y,z respectively.
\n" ); document.write( "Then x + y + z = 25000 ------------(1)
\n" ); document.write( "and annual interest of x is 8%
\n" ); document.write( "y is 6%
\n" ); document.write( "z is 4%
\n" ); document.write( "The amount deposited in the 8% account is twice the amount in the 6% account.
\n" ); document.write( "That is x=2y --------------------(2)
\n" ); document.write( "the three accounts earns total annual interest of $1520
\n" ); document.write( "that gives 8%x + 6%y + 4%z = 1520
\n" ); document.write( "8x + 6y + 4z = 152000
\n" ); document.write( "4x + 3y + 2z = 76000 --------------(3)
\n" ); document.write( "Solving the 3 eqns for x,y,z
\n" ); document.write( "plug x=2y in eqns 1 and 3
\n" ); document.write( "3y + z = 25000 ----------(4)
\n" ); document.write( "11y + 2z = 76000 ----------(5)
\n" ); document.write( "subtract eqns (5) and 2* eqn (4)
\n" ); document.write( "5y = 26000
\n" ); document.write( "y = 5200
\n" ); document.write( "x = 10400 from eqn (2)
\n" ); document.write( "and z = 9400 from eqn (1)\r
\n" ); document.write( "\n" ); document.write( "The money deposited in the 3 accounts is 10400, 5200 and 9400
\n" ); document.write( " \n" ); document.write( "
\n" );