Nico is saving money for his college education. he invests some money at 9%, and $1700 less than that amount at 5%. the investments produced a total of $223 interest in 1 yr. how much did he invest at each rate? he invested $ at 9% and $ at 5%.

Let  the amount of money invested at 9% and the amount of money invested at 5%. The amount invested at 5% () is 1700$ less than the amount invested at 9%  () it means:
(equation 1)
The investments produced 223$ which means:
. (equation 2)
We use the first equation to eliminate from equation 2:


He invested 2200$ at 9% and 500$ at 5%.