Final answer:
To solve this problem, we can set up a system of equations to represent the amounts invested in Fund A and Fund B. By calculating the profits from each fund and setting up an equation, we can find the value of x, representing the amount invested in Fund B.
Step-by-step explanation:
To solve this problem, we can set up a system of equations. Let's represent the amount invested in Fund B as 'x'.
Since the amount invested in Fund A is $8000 less than the amount invested in Fund B, we can represent the amount invested in Fund A as 'x - 8000'.
The profit from Fund A can be calculated by multiplying the amount invested in Fund A by the profit rate of 2%: 0.02(x - 8000).
Similarly, the profit from Fund B can be calculated by multiplying the amount invested in Fund B by the profit rate of 8%: 0.08x.
According to the problem, the total profit from the two funds together is $2140. So we can set up the equation: 0.02(x - 8000) + 0.08x = 2140.
Solving this equation will give us the value of x, which represents the amount invested in Fund B.