Problema Solution

Scott invested a total of $9500 at two separate banks. One bank pays simple interest of 12% per year while the other pays simple interest at a rate of 9% per year. If Scott earned $1032.00 in interest during a single​ year, how much did he have on deposit in each​ bank?

Answer provided by our tutors

Let 'x' represent the amount invested at 12%, then the rest of the amount '9500-x' is the amount invested at 9% per year.

Since,

Interest = Principal * Rate * Time

Time = 1 year

we can write:

1032 = 0.12x + 0.09(9500-x)

Solving for x we find x=$5,900

9,500 - 5,900 = 3,600

Scott invested $5,900 at 12% and $3,600 at 9%.