Answer:
The amount Inga invested in stamps is $2,500.
Explanation:
Let x represents the amount invested in common stock. Therefore, we have:
Amount invested in common stock = x
Amount invested in stamps = 6000 - x
Rc = Rate of gain from common stock = 9%, or 0.09
Rs = Rate of gain from common stock = 12%, or 0.12
Amount of saving now = $6615
Therefore, we have
Amount of saving now = (x * (1 + Rc)) + ((6000 - x) * (1 + Rs)) ………….. (1)
Substituting all the relevant values into equation (1) and then solve for x, we have:
6615= (x * (1 + 0.09)) + ((6000 - x) * (1 + 0.12))
6615 = (x * 1.09) + ((6000 - x) * 1.12)
6615 = 1.09x + (6720 - 1.12x)
6615 = 1.09x + 6720 - 1.12x
6615 - 6720 = 1.09x - 1.12x
-105 = -0.03x
x = -105/-0.03
x = 3,500
Therefore, we have:
Amount invested in stamps = 6000 - x = $6,000 - $3,500 = $2,500
Therefore, the amount Inga invested in stamps is $2,500.
