Betsy, a recent retiree, requires $6,000 per year in extra income. She has $70,000 to invest and can invest in B-rated bonds paying 17% per year or in a CD paying 7% per year. How much money should be invested in each to realize exactly $6,000 in interest per year?

I do not know what to do for this.

6000-4900=1100 is correct, but

0.17x-0.07x=0.1x (not add)

So x=4583.33 is not correct (it should be more than double 4583.)

The easiest way to check is to put x back in the equation and see if it comes out to be $6000.

Would x be $4,583.33?

From the equation x(o.17) + (70,000-x)(0.07) = 6,000
I got 0.17x + 4,900 -0.07x = 6,000 and then I subtracted 4,900 from 6,000 and I added 0.07 to 0.17 and got 0.24x. Is this correct?

To determine how much money Betsy should invest in each option, we can set up a system of equations to represent the given information.

Let's assume Betsy invests x dollars in B-rated bonds and y dollars in a CD.

According to the given information:
1. The total amount Betsy has to invest is $70,000, so we have the equation:
x + y = 70,000

2. The interest earned from investing in B-rated bonds is 17% of the amount invested, which is 0.17x.
The interest earned from investing in a CD is 7% of the amount invested, which is 0.07y.
Since Betsy requires an extra $6,000 in income per year, we have the equation:
0.17x + 0.07y = 6,000

Now, we can solve the system of equations.

1. Solve the first equation (x + y = 70,000) for x:
x = 70,000 - y

2. Substitute the value of x into the second equation:
0.17(70,000 - y) + 0.07y = 6,000

Multiply 0.17 by 70,000: 11,900 - 0.17y + 0.07y = 6,000

Combine like terms: 11,900 - 0.10y = 6,000

Subtract 11,900 from both sides: -0.10y = -5,900

Divide both sides by -0.10: y = 59,000

3. Now substitute the value of y back into the first equation to find x:
x + 59,000 = 70,000
x = 70,000 - 59,000
x = 11,000

Therefore, Betsy should invest $11,000 in B-rated bonds and $59,000 in a CD to realize exactly $6,000 in interest per year.

For B-rated bonds at 17%, she gets

$70000*0.17=$11900 per year
In CD at 7%, she gets
$70000*0.07=$4900 per year.

If she invests $x in B-rated bonds, and $(70000-x) in CD, she should get $6000, or
$x*0.17+(70000-x)*0.07 = 6000

Solve for x