Daniela invested a total of $50,000, some in a certificate of deposit (cd) and the remainder in bonds. the amount invested in bonds was $5,000 more than twice the amount she put into the cd. how much did she invest in each account? call the amount that daniela invested in the cd d and the amount she invested in bonds b.

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:

or, the amount invested in CD is $15,000.

With the value of in hand, we now solve for from equation(2):

or, the amount invested in bonds is $35,000.

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