Sierra invests $1700 in one account and $1500 in an account paying 2 % higher interest. At the end of one year she had earned $126 in interest. At what rates did she invest?

Question

Sierra invests $1700 in one account and $1500 in an account paying 2 % higher interest. At the end of one year she had earned $126 in interest. At what rates did she invest?

Answer 1

1700x + (.02+x)(1500) = 126

1700x + .02(1500) + 1500x = 126

1700x + 1500x = 126 - .02(1500)

1700x+1500x = 126 - 30 = 96

3200x = 96

x = 96/3200 = 3% invested with $1,700

5% invested with $1,500

.03(1700) + .05(1500) =51 + 75 = 126