Hattie had $6600 to invest and wants to earn 4% interest per year. She will put some of the money into an account that earns 2.7% per year and the rest into an account that earns 4.9% per year. How much money
should she put into each account?

The amount of money that should be invested at the rate of 12% is $900 and the amount of money that should be invested at the rate of 10% is $2,100

Step-by-step explanation:

Let

x > the amount of money that should be invested at the rate of 12%

3,000-x > the amount money that should be invested at the rate of 10%

we know that

The sum of the interest on each of the accounts must be equal to the total interest.

Solve for x

therefore

The amount of money that should be invested at the rate of 12% is $900 and the amount of money that should be invested at the rate of 10% is $2,100

Hope this helps you :D