royalties from book college algebra

Question

an author earned 48,000 royalties from a book. she paid a 40% income tax on the amount then invested a balance. she invested some of it at 6.5% interest and some at 9% interest. the investments produced 2,267 interest per year. find the amount invested at each rate

Answer 1

40% of 48000= 19200 leaving 28800 to invest

.09X + .065(28800-X) = 2267

.025X = 2267 - 6.5(288)

X = 15800 at 9%

19200-15800 = 3400 at 6.5%