SOLUTION: Donna invested $33,000 bonus and recovered 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 @ each

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Question 163628: Donna invested $33,000 bonus and recovered 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 @ each rate?
Answer by jojo14344(1512) About Me  (Show Source):
You can put this solution on YOUR website!

x= amount invt. @4%
33000-x= amount invt. @2.25%
Therefore,
0.04x%2B0.0225%2833000-x%29=970, eqn 1
0.04x%2B742.50-0.0225x=970
0.0175x=970-742.50=227.50
cross%280.0175%29x%2Fcross%280.0175%29=cross%28227.50%2913000%2Fcross%280.0175%29
x=13000 --------------> amount invt. @4%
33000-13000=20000 -----------> amount invt. @2.25%
Check via eqn 1,
0.04%2813000%29%2B0.0225%2820000%29=970
520%2B450=970
970=970
Thank you,
Jojo