Question

what is the answer for this question?
1. Dayne has three investment portfolios: A, B and C. Portfolios A, B and C together are worth a total of $175000, portfolios A and B together are worth a total of $143000, while portfolios A and C together are worth a total of $139000.
Use Cramer’s Rule to find the value of each portfolio.

Answer 1

Answer:

The correct answer is:

Portfolio A = $107,000

Portfolio B = $36,000

Portfolio C = $32,000

Step-by-step explanation:

According to the question,

$A+B+C=175000$...(1)

$A+B = 143000$...(2)

$A+C=139000$...(3)

Now,

From (1) and (2), we get

⇒ $Portfolio \ C = (1)-(2)$

                        $=175000-143000$

                        $=32000$...(4)

From (1) and (3), we get

⇒ $Portfolio \ B =(1)-(3)$

                        $=175000-139000$

                        $=36000$...(5)

From (1), (4) and (5), we get

⇒ $Portfolio \ A = (1)-(4+5)$

                        $=175000-(36000+32000)$

                        $=175000-68000$

                        $=107000$  

                 

Thus the above is the correct answer.