To solve this problem, we need to set up a system of equations based on the given information:

1. Let $x$ represent the amount the woman invests in the 15% bond.
2. The total investment amount is $80,000, so the amount she invests in the CD is $80,000 - x$.

Next, we can calculate the annual interest from each investment:

• The interest from the bond investment is $0.15x$ (15% of the amount invested in the bond).
• The interest from the CD investment is $0.07(80,000 - x)$ (7% of the amount invested in the CD).

The total interest she needs is $3,000 per year. So, we can set up the following equation:

$0.15x + 0.07(80,000 - x) = 3,000$

Now, let's solve for $x$:

$0.15x + 0.07(80,000 - x) = 3,000$

Distribute the 0.07 on the right-hand side:

$0.15x + 0.07(80,000) - 0.07x = 3,000$

$0.15x + 5,600 - 0.07x = 3,000$

Combine the like terms:

$(0.15x - 0.07x) + 5,600 = 3,000$

$0.08x + 5,600 = 3,000$

Subtract 5,600 from both sides:

$0.08x = 3,000 - 5,600$

$0.08x = -2,600$

Now, solve for $x$:

$x = \frac{-2,600}{0.08}$

$x = -32,500$

This negative value suggests there may have been an error in either the interpretation or the input problem. Please check the conditions or clarify so we can resolve any issues