Question

Please help!
Richard has investment totaling $4,000 in two accounts. One is a savings account paying 3% annual interest and the other a bond paying 5% annual interest. If the annual interest from the two investments was $180, how much did he have invested at each rate?

b. Write the system of equations to represent this situation



c. solve the system

Answer 1

Let the amount invested at 3% be A, and let the amount invested at 5% be B. Then
A + B = 4000 .....................(1)

When we consider the interest we can write:
A * 0.03 + B * 0.05 = 180 .......(2)

Now you need to solve the system of equations (1) and (2) to find the values of A and B.

Answer 2

@jaylelile Are you there?

Answer 3

yes just trying to understand...

Answer 4

Which part are you having trouble understanding?

Answer 5

how to solve the system

Answer 6

If we look at the first equation
A + B = 4000 .....................(1)
it can be rearranged to get B in terms of A, as follows:
B = 4000 - A .................(3)

If you now replace B in equation (2) by (4000 - A) you can solve the resulting equation to find the value of A.