balancing a portfolio\nan investor is investing $8,000 and would like a ratio of $\frac{2}{3}$ stocks to…

balancing a portfolio\nan investor is investing $8,000 and would like a ratio of $\frac{2}{3}$ stocks to bonds. complete the equation that can be used to find the amount the investor should put into stocks, a.\n$\frac{2}{3}=\frac{a}{square - square}$

balancing a portfolio\nan investor is investing $8,000 and would like a ratio of $\frac{2}{3}$ stocks to bonds. complete the equation that can be used to find the amount the investor should put into stocks, a.\n$\frac{2}{3}=\frac{a}{square - square}$

Answer

Explanation:

Step1: Define variables

Let the amount in stocks be $a$ and the amount in bonds be $b$. The total investment is $85000$, so $a + b=85000$, and $b = 85000 - a$. The ratio of stocks to bonds is $\frac{2}{3}$, so $\frac{a}{b}=\frac{2}{3}$.

Step2: Substitute $b$

Substitute $b = 85000 - a$ into the ratio equation: $\frac{2}{3}=\frac{a}{85000 - a}$.

Answer:

$\frac{2}{3}=\frac{a}{85000 - a}$