douald has investments totaling 4,000 in two accounts-one a savings account paying 3% interest and the other bond paying 5%. if the annual from the two investment was 180%, how much did he have in invested at each rate?

- anonymous

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- anonymous

douald has investments totaling 4,000 in two accounts-one a savings account paying 3% interest and the other bond paying 5%. if the annual from the two investment was 180, how much did he have in invested at each rate?

- anonymous

Let funds deposited into account 1 be A and funds deposited into account 2 be B.
A + B = 4000, since the total amount invested is $4,000.
Since A earns interest at 3% and B earns interest at 5%, we can set up a second equation like this:
A*.03 + B*.05 = 180

- anonymous

ok

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## More answers

- anonymous

So you have A+B=4000
And .03A + .05B=180
Can you solve one of those for A or B? The first one, maybe?

- anonymous

no can u show me how

- anonymous

Let's solve for A by subtracting B from both sides:
A+B=4000
- B
--------------
A =4000-B

- anonymous

Now you can substitute that in for A in the second equation:
.03(4000-B) + .05B = 180

- anonymous

i thought i subtract the like terms

- anonymous

I'm not sure what you mean.

- anonymous

o while ill do it your way

- anonymous

ok wat i do now

- anonymous

Distribute .03:
.03*4000 - .03B + .05B = 180

- anonymous

ok i did it

- anonymous

Okay, what did you get? Then simplify it.

- anonymous

is the answer 120.02

- anonymous

Well, .03*4000 = 120.00. But that is not the answer to the problem. We need to solve for A and B.

- anonymous

ok is u workin it out to

- anonymous

I want you to understand how to get there, I'd rather not just give you the answer.

- anonymous

When you distribute .03:
.03*4000 -.03B +.05B what do you get?

- anonymous

i know hw answer i just said was the wronge answer

- anonymous

.03*4000 -.03B+.05B = 120 + .02B = 180
Subtract 120 from both sides
.02B=60
Divide
60/.02=B=3000
Plug back in to the original equation
A+3000=4000
Therefore A = 1000 and B = 3000

- anonymous

want it be -0.35b=60

- anonymous

then wat do i do next

- anonymous

I worked it all out above.

- anonymous

how much did he have invested at each rate?

- anonymous

I already answered the question.
.03*4000 -.03B+.05B = 120 + .02B = 180
Subtract 120 from both sides
.02B=60
Divide
60/.02=B=3000
Plug back in to the original equation
A+3000=4000
Therefore A = 1000 and B = 3000

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