One year, Shannon made $288 from two investments. $1100 was invested at one yearly rate and 1800 at a rate that was 1.5% higher. Find the two rates of interest

Answer 1

lower rate ---- r
higher rate ---- r+.015

1100r + 1800(r+.015) = 288
1100r + 1800r + 27 = 288
2900r = 261
r = .09

the one rate was 9% , the other 10.5%

check:
1100(.09) + 1800(.105) = 288