What is the ratio of dividing 6705 in the ratio 2:8?

[peter_pan]

Any ideas ??

Homework Statement

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

The Attempt at a Solution

I don't know where to begin.

 

[NoMoreExams]

I have no idea what you are asking.

 

[peter_pan]

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 that's why i am asking you guys to see if anyone can help me.

Thanks

 

[NoMoreExams]

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?

 

[peter_pan]

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.

 

[NoMoreExams]

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

 

[peter_pan]

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.

 

[NoMoreExams]

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.

 

[peter_pan]

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

 

[NoMoreExams]

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

 

[peter_pan]

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.

 

[NoMoreExams]

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