# Any ideas ?

1. Jan 22, 2009

### peter_pan

Any ideas ??

1. The problem statement, all variables and given/known data

divide 6705 in the (ratio square r00t sign-2 : square root sign-8).

3. The attempt at a solution

I don't know where to begin.

2. Jan 22, 2009

### NoMoreExams

Re: Any ideas ??

I have no idea what you are asking.

3. Jan 22, 2009

### peter_pan

Re: Any ideas ??

Basically it has to do with ratios.

I am asking how would you divide £6705 in the ratio 2:8.

But both the 2 and 8 have a square root sign each, but i cannot put the sign because my keyboard hasn't got a key with a sign on it.

It doesn't really make sense to me and thats why i am asking you guys to see if any one can help me.

Thanks

4. Jan 22, 2009

### NoMoreExams

Re: Any ideas ??

Yes but those are still just numbers, you are trying to proportion out 6705, you are told relative weights, so what would the equation be?

Let's try a simple problem let's say it WAS just 2:8, how would you do it?

5. Jan 22, 2009

### peter_pan

Re: Any ideas ??

Adding 2 and 8 together and then divide the total amount by the amount i got after i added.

That would give me the ratio in each unit.

6. Jan 22, 2009

### NoMoreExams

Re: Any ideas ??

Right so tell me the final answer, if I told you the relative weights are 2 and 8, how much would go each "bucket"

7. Jan 22, 2009

### peter_pan

Re: Any ideas ??

2+8=10

6705 / 10=670.5

670.5 is the amount of each unit in the ratio, If i multiply 670.5 by 2 i get 1341 and 670.5 multiply by 8 i get 5364.

Thats all good but my only problem lies with the square root sign if you know what i mean.

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8. Jan 22, 2009

### NoMoreExams

Re: Any ideas ??

The square root should not matter.

Look at what you did, you had a:b

So you said amounts in "one" unit is 6705/(a+b).

Now the amount in the "first bucket" is a*6705/(a+b) and in the "second bucket" it's b*6705/(a+b).

In the example we just worked, a = 2, b = 8. In your problem, $$a = \sqrt{2}, b = \sqrt{8}$$

Note also that $$\sqrt{8} = 2 \sqrt{2}$$ so you can simplify your calculations a little bit.

9. Jan 22, 2009

### peter_pan

Re: Any ideas ??

So when i get the solution, should the square root sign still be there ?

10. Jan 22, 2009

### NoMoreExams

Re: Any ideas ??

Nope, show me your work using what I told you.

11. Jan 22, 2009

### peter_pan

Re: Any ideas ??

i got 2236.3 for A using the formula you gave me.

I am a little bit confused somewhere.

Is there any chance you could do part A and show me what you mean.

12. Jan 22, 2009

### NoMoreExams

Re: Any ideas ??

Go ahead and show you work like I said in the previous post.