A retired woman has $80,000 to invest but needs to make $3,000 a year from the interest to meet certain living expenses. One bond investment pays 15% annual interest. The rest of it she wants to put in a CD that pays 7%.

If we let x be the amount the woman invests in the 15% bond, how much in dollars will she be able to invest in the CD? 

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

A retired woman has $80,000 to invest but needs to make $3,000 a year from the interest to meet certain living expenses. One bond investment pays 15% annual interest. The rest of it she wants to put in a CD that pays 7%. If we let x be the amount the woman invests in the 15% bond, how much in dollars will she be able to invest in the CD?

Solve a real-world algebra problem where a retired woman invests $80,000 with 15% in bonds and 7% in a CD, needing $3,000 in interest per year. This problem involves linear equations and is suitable for students in Grades 9-11.

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