Question

a total of $27,000 is to be invested, some in bonds and some in certificates of deposit (cds). if the amount invested in bonds is to exceed that in cds by $4,000, how much will be invested in each type of investment?

the amount invested in cds is $\square$.

the amount invested in bonds is $\square$.

Explanation:

Step1: Define variables

Let $x$ = amount in CDs, $y$ = amount in bonds.

Step2: Set up total investment equation

$x + y = 27000$

Step3: Set up bond-CD difference equation

$y = x + 4000$

Step4: Substitute $y$ into total equation

$x + (x + 4000) = 27000$

Step5: Simplify and solve for $x$

$2x + 4000 = 27000$
$2x = 27000 - 4000 = 23000$
$x = \frac{23000}{2} = 11500$

Step6: Calculate $y$ using $x$

$y = 11500 + 4000 = 15500$

Answer:

The amount invested in CDs is $\$11500$.
The amount invested in bonds is $\$15500$.