natalie invests $2500 in one account and $1800 in an account paying 2 % higher interest. at the end of one year she had earned $208 in interest. at what rates did she invest?

Answer 1

2500(x) + 1800(x+.02) = 208

4300x = 208- .02(1800) = 208- 36 = 172

x = 172/4300 = 43(4)/43(4)(25) = 1/25 = .04

= 4% invested with $2500, $1800 at 6%

208/4300 = about 4.8% interest on $2500+$1800

6-4.8 = 1.2

4.8-4 = .8

1.2/.8 = 3/2 ratio = 6%/4% =3/2