Another algebra question?

Question

beatrice roberts receives $375 per year from a $6000 investment in stocks and bonds. the bonds pay 10% interest and the stocks pay 5% in dividends. how much is invested in stocks?

please explain how you got your answer!!

Answer 1

S + B = 6000
.05 S + .10 B = 375

Solve by substitution...
.05(6000 - B) + .10 B = 375
300 + .05 B = 375
B = 1500
S = 4500

Check -- it works.

Answer 2

The total value if the stocks and bonds is $6000, so

S + B = 6000

The amount that Beatrice receives is made up of 5% of the amount invested in stocks and 10% of the amount invested in bonds, therefore

0.05 S + 0.10 B = 375

We have that

S + B = 6000 ------------------(1)
0.05 S + 0.10 B = 375 ------(2)

Multiply (2) by 10 and rearrange to solve for B

0.5 S + B = 3750
B = 3750 - 0.5S

Substituting into equation (1) gives

S + (3750 - 0.5S) = 6000

0.5S = 2250

S = 4500
and therefore B = 3750 - 2250 = 1500.

CHECK: 10% of $1500 is $150; 5% of 5500 is $225
So in total it comes to $374 which is correct.

Answer 3

you could ask millions of questions like this. But making other people do your homework is not the solution.

What the teacher wants you to learn to do by your self is:
1- translate
a story like question into what is called "a linear system". Do you know what that is?
It's several addition equations with several unknowns (these are represented by letters like x, y , z etc)
2-solve
a linear system.
Basic methods are"
- algebra method:
1 moving around with the letters
2 substitution into each other
- graphical method (drawing them causes line's)
find the intersection point of several lines.

The AIM is not the answer, but you to understand the method of solution.
It's even OK to make a mistake. Just practice.

So pls stop being a typical bimbo, and try to see the pattern these goodwilling people use to solve your homework.

Answer 4

10 % + 5 % is 2/3 resp 1/3 of the entire 375 that is paid yearly.

so 1/3 of 375 = 125
2/3 of it is 250