On two investments totaling $14,000, Jessica lost 5% on one and earned 6% on the other. If her net annual receipts were $422, how much was each investment?

Answer 1

14K invested at two different ways, losing 5% on one and gaining 6% on the other

-.05x + (.06)(14000-x) = 422

-.05x - .06x = 422 - .06(14000)

1. .11x = 422 - 840 = - 418
2. x = 418/11 = $3800 investing at the losing 5%
3. 14000 -3,800 = $10,200 invested at winning 6%