Let us assume $x is deposit at 2.5% interest.
At the rate 4.5% deposited amount is twice of the amount deposited at 2.5%.
Therefore, at the rate 4.5% deposited amount = $2x.
Total interest earned by both different deposited amount at the rate 2.5% and at the rate 4.5% = $1150.
We can setup an eqation now,
Interest earned on $x at 2.5% + interest earned on $2 at 4.5% = $1150.
2.5% of x + 4.5% of 2x = 1150
Percentage could be written in decimals by dividing by 100.
Therefore, 2.5% = 2.5 /100= 0.025 and 4.5% = 4.5/100 = 0.045.
We could rewrite above equation as,
0.025*x + 0.045 * 2x = 1150
0.025x + 0.09x =1150
Adding 0.025x + 0.09x, we get 0.115x.
So, 0.115x=1150.
Dividing both sides by 0.115.
0.115x/0.115=1150/0.115.
x= $1000.
2x= 2* 1000= $2000
Therefore,
$1000 deposited at 2.5% and $2000 deposited at 4.5%.
