Word problem about interest

Question

I'm in algebra 1 and I'm learning with a table with quantity, rate and value
A team of cancer researchers received a grant of $300000 to be used for cancer research. They deposited some in a 10% simple interest account and the remainder in a 8.5% annual simple interest account. How much is deposited in each account if the annual interest is $28,500?

Answer 1

Interest # 1 = x(1+0.10)        ⇐ assuming x dollars invested at 10%

Interest # 2 = (300,000-x)(1+0.085)    ⇐ assuming the rest of $300,000 dollars were invested at 8.5%

 

Write an equation setting total interest, $28,500 equal to the sum of the two expressions above (right-side of equations).

 

Solve for x. Then you can know how much was invested at each interest rate.