Answer :
ANSWER:
Amount invested at 15% is 3600
Amount invested at 5% is $ 2400
STEP-BY-STEP EXPLANATION:
We can establish the following equation system with the help of the statement:
Let x is the amount invested at 15%
Then 6000 - x is the amount invested at 5%
[tex]\begin{gathered} 0.15x+0.05(6000-x)=660 \\ \text{ Solving for x:} \\ 0.15x+300-0.05x=660 \\ 0.1x=660-300 \\ x=\frac{360}{0.1} \\ x=3600 \\ \text{ Thefore, the amount invested at 5\% is:} \\ 6000-3600=2400 \end{gathered}[/tex]Therefore, the amount invested at 15% is 3600 and the amount invested at 5% is $ 2400