b = s/2 + 5000
b+s = 20000
b=10000
s=10000
b+s = 20000
b=10000
s=10000
Let's assume the amount invested in stocks is "S" dollars.
So, the amount invested in bonds would be "B" dollars.
According to the information provided, the investment in bonds is $5,000 more than half of the investment in stocks.
This can be written as B = (1/2)S + $5,000.
We also know that the total investment is $20,000.
Therefore, the sum of the investments in stocks and bonds should equal $20,000. We can write this as S + B = $20,000.
Now, we have two equations:
Equation 1: B = (1/2)S + $5,000
Equation 2: S + B = $20,000
To solve these equations, we can substitute Equation 1 into Equation 2 to eliminate the variable "B."
Substituting B from Equation 1 into Equation 2, we get:
S + ((1/2)S + $5,000) = $20,000
Simplifying this equation:
(3/2)S + $5,000 = $20,000
Subtracting $5,000 from both sides:
(3/2)S = $15,000
Now, to solve for 'S,' we can multiply both sides by 2/3:
S = ($15,000) * (2/3)
S = $10,000
Hence, the person invested $10,000 in stocks.
To determine the investment in bonds, we can substitute the value of 'S' back into Equation 1:
B = (1/2) * $10,000 + $5,000
B = $5,000 + $5,000
B = $10,000
Thus, the person invested $10,000 in bonds as well.