Answer:
The amount invested in bonds = 35,000
The amount invested in CD = 15,000.
Step-by-step explanation:
The total amount that Daniela invested is $50,000, this means if we call the amount invested in bonds
, and the amount invested in CD
, then we have:
this says the total amount Daniela invested is $50,000.
And since the amount invested in bonds
is $5,000 more than twice the amount Daniela put into the CD, we have:
.
Thus, we have two equations and two unknowns
and
:
(1).
(2).
,
and we solve this system by substituting
from the second equation into the first:
![b+d=50,000\\5,000+2d+d=50,000\\3d=45,000\\\\\boxed{d=15,000}](https://tex.z-dn.net/?f=b%2Bd%3D50%2C000%5C%5C5%2C000%2B2d%2Bd%3D50%2C000%5C%5C3d%3D45%2C000%5C%5C%5C%5C%5Cboxed%7Bd%3D15%2C000%7D)
or, the amount invested in CD is $15,000.
With the value of
in hand, we now solve for
from equation(2):
![b=5,000+2d\\b=5000+2(15,000)\\\boxed{b=35,000}](https://tex.z-dn.net/?f=b%3D5%2C000%2B2d%5C%5Cb%3D5000%2B2%2815%2C000%29%5C%5C%5Cboxed%7Bb%3D35%2C000%7D)
or, the amount invested in bonds is $35,000.