Let us assume $x is deposit at 1.5% interest.
At the rate 2% deposited amount is twice of the amount deposited at 2%.
Therefore, at the rate 2% deposited amount = $2x.
Total interest earned by both different deposited amount at the rate 1.5% and at the rate 2% = $825.
We can setup an eqation now,
Interest earned on $x at 1.5% + interest earned on $2 at 2% = $825.
1.5% of x + 2% of 2x = 825
Percentage could be written in decimals by dividing by 100.
Therefore, 1.5% = 1.5 /100= 0.015 and 2% = 2/100 = 0.02.
We could rewrite above equation as,
0.015*x + 0.02 * 2x = 825
0.015x + 0.04x =825
Adding 0.015x + 0.04x, we get 0.055x.
So, 0.055x=825.
Dividing both sides by 0.055.
0.055x/0.055=825/0.055.
x= $15000.
2x= 2* 15000= $30000
Therefore,
$15000 deposited at 1.5% and $30000 deposited at 2%.
