$192,400 was deposited in the account that earns 2.1% interest and $57,600 was deposited in the account that earns 3.6% interest
Interest earned in the account = $256,114 - $250,000 = $6114
This question would be solved using simultaneous equations
Two equations can be derived from the question
a + b = 250,000 equation 1
0.036a + 0.021b = $6,114 equation 2
Where :
a = amount deposited in the account that earns 3.6% in interest.
b = amount deposited in the account that earns 2.1% in interest.
Multiply equation 1 by 0.036
0.036a + 0.036b = 9000 equation 3
Subtract equation 2 from 3
2886 = 0.015b
Divide both sides of the equation by 0.015
b = 192,400
Substitute for b in equation 1
a + 192,400 = 250,000
a = 250,000 - 192,4000
a = 57,600
To learn more about simultaneous equations, please check: brainly.com/question/23589883?referrer=searchResults