Answer
3240 dollars will be invested at 4%.
2160 dollars will be invested at 6%.
Work Step by Step
Let X represent the amount of money invested at 4%.
The remainder, which is 5400 - X, will be invested at 6%.
From the first investment, we will receive 4% $\times$ X = 0.04X.
From the second investment, we will receive 6% $\times$ (5400 - X) =
324 - 0.06X.
Since both investments will produce the same amount of interest, we set them equal to each other and solve the equation.
So:
0.04X = 324 - 0.06X
0.1X = 324
Divide both sides by 0.1:
X = 3240
3240 dollars will be invested at 4%.
5400 - 3240 = 2160 dollars will be invested at 6%.
