A person invested 30,000 in stocks and bonds. Her investment in bonds is 2000 more than 1-third her

A person invested 30,000 in stocks and bonds. Her investment in bonds is 2000 more than 1-third her investments in stocks. How much did she invest in stocks? How much did she invest in bonds?

Let the stock investment be s, and the bond investment be b. We're given:

1. b + s = 30000
2. b = 1/3s + 2000

Plug in (2) to (1):
1/3s + 2000 + s = 30000

Group like terms:
(1/3 + 1)s + 2000 = 30000

Since 1 = 3/3, we have:
4/3s + 2000 = 30000

Subtract 2000 from each side:
4/3s + 2000 - 2000 = 30000 - 2000

Cancel the 2000's on the left side, we get:
4/3s = 28000

Typing this equation into our calculator, we get:
s = 21,000