please help i need help

Question

Mr. Walker invested $65,100 in two banks, one paying 4.5% and the other 6%. If he gets $231 more on the 6% investment than that on the 4.5% investment, find the total annual income from the banks.

Answer 1

0.045(X) = 0.06(65100-X) -231 where X is the amount invested at 4.5%

0.105X = 3906-231 = 3675

X = 3675/0.105

X = $35,000 invested at 4.5% earning $1575

(65100-35000) = $30,100 invested at 6% earning $1806

total interest earned = $3,381

3381/65100 = about 0.052 = 5.2% average interest rate