Algebra word problem

Question

Sue has $6 million to invest. She decides to invest in mutual funds and technology stocks. If the mutual fund earned 2% and the stocks earned 4% a total of $170,000 earned, how much did she invest in each?

Answer 1

.02(6-x)+.04(x) = .17, x measured in units of $1 million (.17 = $170,00, 6 =$6 million)

.04x-.02x = .17-.02(6)

.02x =.17-.12 = .05

x = 5/2 = 2.5 million dollars invested at 4%

6-x =6-2.5 = 3.5 million dollars invested at 2%

.02(3.5) + .04(2.5) = .07 + .10 = .17