Helene invested a total of $1,750 in two simple-interest bank accounts. one account paid 4% annual interest; the other paid 5% annual interest. the total amount of interest she earned after 1 year was $79. find the amount invested in each account.

Total investment by Helena was $1750

Suppose, in one bank she invested $x,

then in the other bank, she invested $ (1750-x)

Annual interest paid by the first bank was 4% of x

i. e; 4x/100

Similarly, the second bank paid 5% of (1750-x)

i. e; 5 (1750-x) / 100

Total Interest she earned was $79

So we can say,

4x/100 + 5 (1750-x) / 100 = 79

or, 4x-5x+8750 = 7900

or, - x = - 850

so x = 850

1750-x = 1750-850 = 900

So, in one bank she invested $850, and in the other bank, she invested $900.