SOLUTION: a totalk of $10,000 is invested in two funds paying 5% and 7% annual interest. the combined annual interest is $644. how much of the 10,000 is invested in each fund?

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: a totalk of $10,000 is invested in two funds paying 5% and 7% annual interest. the combined annual interest is $644. how much of the 10,000 is invested in each fund?      Log On


   



Question 144853: a totalk of $10,000 is invested in two funds paying 5% and 7% annual interest. the combined annual interest is $644. how much of the 10,000 is invested in each fund?
Answer by shahid(44) About Me  (Show Source):
You can put this solution on YOUR website!
let $x be invested at 5% then $(10000-x) be invested at 7%
now interest on $x at 5% will be =+x%2A5%2F100
and interest on $(10000-x) =%2810000-x%29%2A7%2F100
according to condition
5x/100+7(10000-x)/100=644
(5x+70000-7x)/100=644
-2x=100(644)-70000
-2x=64400-70000
-2x=-5600
2x=5600
x=5600/2
x=2800 hence 2800 is invested on 5% and 7200 on 7%