How much did she invest in each account

Question

Major invest $1700 in one account and $2500 in an account pay 4% higher interest.At the end of one year she had earned $478 in interest. At what rates did she invest?

Answer 1

17x + 25(x+.04) = 4.78

17x +25x = 4.78 - 1 = -.522

42x = -.3.78

x = .3.78/42 = about.09 = 9% for $1700

x+.04 = 13% for $2500

478/4200 = average return of about 11.38%

13 - 11.38 = 1.62

11.38 - 9 = 2.38

1.62/2.38 = about .68

17/25 = .68

.09(17) + .13(25)

= 1.53 + 3.25 = 4.78 = $478

whne 17 = $1700 and 25 = $2500