How much money is invested in each account?

Question

$15308 is invested in two accounts earning 8% and 10%, respectively. In one year, a total of 1333.28 is earned in interest. How much money is invested in each account?

Answer 1

Let x = the amount invested at 8% interest

Let y = the amount invested at 10% interest

x + y = 15,308        x = 15,308 - y

.08x + .10y = 1333.28         Multiply both sides of this equation by 100 to remove the decimal points.

8x + 10y = 133,328

8(15,308 - y) + 10y = 133,328

122,464 - 8y + 10y = 133,328

2y = 10,864

y = $5432

x = 15,308 - y 

x = $9876