An actor invests some money at 7%, and $25000 more than twice the amount at 11%. the total annual interest earned from the investment is $45670. how much did he invest at each amount? use the six-step method. he invested $ at 7% and $ at 11%

Let  be the amount of money invested at 7% and   the amount of money invested at 11%. The actor invests at 7% and 25000$ more than at 11%, it means:
(Equation 1)
The total annual interest earned is 45670$:
(Equation 2).
We remove from equation 2 by using equation 1:


He invests 148000$ at 7% and 321000$ at 11%.