Algebra help, Income earned on an IRA investment help?

Question

I need some help on setting up this problem, and how to find the formula to get the correct answer.. this sounds like a different language like where do I start? Can I put this in a table or a chart to get the equations? 

Here it is: A student receives a yearly income of $4,000 from an account set up by her grandparents to help fund her education. From this educational account $10,000 is invested in a secure Treasury bond earning 5.5% yearly interest. If she earns a 6% rate of return on the rest of this educational account through a corporate bond, what is the principal that is invested in the corporate bond? 

Answer 1

Formulas:

I=Prt

P=I/rt

Yearly Income=Interest amount from Treasury Bond+Interest amount from Corporate Bond

 

I=Interest amount

P=Principal amount

r=interest rate

t=time period in years

 

 

Treasury Bond:

P=10,000

r=5.5%=.055

t=1

I=10,000(.055)(1)=550

 

Corporate Bond:

r=6%=.06

t=1

I=(Yearly Income-Interest amount from Treasury Bond)=4000-550=3450

P=3450/(.06)(1)=57,500

P=$57,500