Given data:
The total principal amount is x+y=$11,800.
The rate of interest on first amount is r=2%.
The rate of interest on second amount is r'=5%.
The total interest is I=$453.50.
The given timme is t=1 year.
The expression for the total interest is,
Substitute the given values in the above expression.
Substitute (11,800-x) for y in the above expression.
The value of y is,
The amount in first account is 4,550, and the amount in second account is 7,250.