another word problem set up?

Question

Investing her bonus. Melanie invested her $33,000 bonus and received a total of $970 in interest after one year. If part of the money returned 4% and the remainder 2.25%, then how much did she invest at each rate?
Teacher:
Minus 1 for no problem setup.

My answer:
I= $970.00 Interest
P= $33,000.00 Bonus
Equation: I = x(.04) + (P-x)(.0225)
The amount invested at 4%, while P-x is the money she invested at 2.25%.
$970 = x(.04) + 742.5 - .0225x
970 = .04x + 742.5 - .0225x
227.5 = .0175x
x=$13,000.00
Melanie invested $13000 at 4%, and
$33000-$13000=$20000 at 2.25%

Teacher:
Minus 1 for no solution checks.
Don't get how to put that into a solution check
Solution check?

Answer 1

Your solution check would be something like
13000X4%=520
20000x2.25%=450
450+520=970