Iwon $60,000 i invested part in a cd at 2% interest the rest at 3%interest in a cd at the end of the year i earned $1600 in interest. how much did i invest in each cd

At 2% interest:  i2 = x * 0.02 is the amount of interest earned
At 3% int:  i3 = (60000-x) * 0.03 is the amt of interest earned.

Note that i2 + i3 = $1600, and that x + y = 60000.
   x * 0.02 + (60000-x) * 0.03 = $1600  can be solved for x, the amt invested at 2%.

0.02x + 1800 - 0.03x = 1600 simplifies to $200 = 0.01x.  Thus, x = $20000 at 2% and y = 60000-20000 = $40000 at 3%.

It’s d not so sure because i think it is