How much was put in each account?

Question

Lupe inherited 10000 and decide to invest she opens two accounts one pays 6.5% annual intetest and the other 5.5% annual interest at the end of the 1st year the account totaled 10582... How much was put in each account?

Answer 1

Let x = amt at 6.5% and y = amt at 5.5%

 

x + y = 10000

 

1.065x + 1.055y = 10582

 

1.065x + 1.055(10000-x) = 10582

 

.01x = 32 => x = 3200 and y = 6800