Steven wins the lottery for \$500,000. 20% of the total amount was deducted in taxation. He invested some of the remaining amount at 5% and some at 3%. Find out the amount invested at each rate if the interest earned per year is \$17,000.

Amount invested at 5% = \$250,000, Amount invested at 3% = \$150,000

Amount invested at 5% = \$150,000, Amount invested at 3% = \$250,000

Amount invested at 5% = \$100,000, Amount invested at 3% = \$300,000

Amount invested at 5% = \$300,000, Amount invested at 3% = \$100,000