rational equations in financial contexts\nan investor has $25,000 to invest in stocks and bonds. she wants…

rational equations in financial contexts\nan investor has $25,000 to invest in stocks and bonds. she wants the ratio of stocks to bonds to be 3 to 2. which equation can she use to find the amount to invest in bonds, $x$?\n$\frac{3}{2}=\frac{25,000 - x}{x}$ $\frac{3}{2}=\frac{25,000 + x}{x}$ $\frac{3}{2}=\frac{x}{25,000 + x}$ $\frac{3}{2}=\frac{x}{25,000 - x}$

rational equations in financial contexts\nan investor has $25,000 to invest in stocks and bonds. she wants the ratio of stocks to bonds to be 3 to 2. which equation can she use to find the amount to invest in bonds, $x$?\n$\frac{3}{2}=\frac{25,000 - x}{x}$ $\frac{3}{2}=\frac{25,000 + x}{x}$ $\frac{3}{2}=\frac{x}{25,000 + x}$ $\frac{3}{2}=\frac{x}{25,000 - x}$

Answer

Explanation:

Step1: Define the amounts

Let $x$ be the amount invested in bonds. The total amount to invest is $$25000$, so the amount invested in stocks is $25000 - x$.

Step2: Set up the ratio - equation

The ratio of stocks to bonds is $3$ to $2$. So, the ratio of the amount in stocks to the amount in bonds should equal $\frac{3}{2}$. We get the equation $\frac{3}{2}=\frac{25000 - x}{x}$.

Answer:

$\frac{3}{2}=\frac{25000 - x}{x}$ (the first option)