Answer :
Let us assume the amount invested at 12% = x
Let us assume the amount invested at 9% = y
Total amount invested = $9500
Total yield = $1032
Then
x + y = 9500
x = 9500 - y
and
0.12x + 0.09y = 1032
Putting the value of "x" in the second equation, we get
0.12(9500 - y) + 0.09y = 1032
1140 - 0.12y + 0.09y = 1032
0.03y = 108
y = 3600
Putting the value of y in the first equation, we get
x = 9500 - 3600
= 5900
I hope the procedure is clear enough for you to understand.
Let us assume the amount invested at 9% = y
Total amount invested = $9500
Total yield = $1032
Then
x + y = 9500
x = 9500 - y
and
0.12x + 0.09y = 1032
Putting the value of "x" in the second equation, we get
0.12(9500 - y) + 0.09y = 1032
1140 - 0.12y + 0.09y = 1032
0.03y = 108
y = 3600
Putting the value of y in the first equation, we get
x = 9500 - 3600
= 5900
I hope the procedure is clear enough for you to understand.