Phyllis invested $10,500 a portion earning a simple interest rate of 9 (1/5) % per year and the rest earning a rate of 9% per year, after one year the total interest earned on these investments was $957.00. How much money did she invest at each rate?

Total investment = $10,500

Let x = amount of first investment, and y the amount of the second investment.

First investment:

Interest rate = 9 (1/5) % = 0.092

Earned interest = 0.092x

Second investment:

Interest rate = 9% = 0.09

Earned interest = 0.09y

Total interest after one year is $957.00, therefore

0.092x + 0.09y = 957

or

1.0222x + y = 10633.33 (1)

Also,

x + y = 10500 (2)

Subtract (2) from (1).

0.0222x = 133.33

x = 6000

y = 10500 - x = 4500

Answer:

The first investment is $6,000 at 9 (1/5) % rate;

The second investment is $4,500 at 9% rate.