Question

Laurie has $46,000 invested in stocks and bonds. The amount invested in stocks is $8,000 less than 3 times the amount invested in bonds. How much does Laurie have invested in bonds?


$16,000


$24,000


$13,500


$52,000

Answer 1

Let \( x \) represent the amount invested in bonds. According to the problem, the amount invested in stocks can be expressed as \( 3x - 8000 \).

The total amount invested in stocks and bonds is given as $46,000, so we can set up the following equation:

\[
x + (3x - 8000) = 46000
\]

Now, combine the terms:

\[
4x - 8000 = 46000
\]

Next, add 8000 to both sides:

\[
4x = 46000 + 8000
\]
\[
4x = 54000
\]

Now, divide both sides by 4:

\[
x = \frac{54000}{4}
\]
\[
x = 13500
\]

Thus, Laurie has \( \boxed{13500} \) invested in bonds.