Melody

There has been a request for further explanation on this one.

\(\frac{S_A}{S_B}=\left( \frac{R_A}{R_B} \right)^2\\~\\means\\~\\ \frac{Surface\:area\;of\:A}{Surface\:area\;of\:B}=\left( \frac{Radius\:of\:A}{Radius\:of\:B} \right)^2 \)

You have doubled counted.

Say the people are

A,B,C,D,E,F,G,H,J

Say you chose J as the single person then you chose  A,B,C,D for the first group and then you are left with E,F,G,H for the last group.

this is the same as

............Chose J as the single person then you chose  E,F,G,H for the first group and then you are left with A,B,C,D  for the last group.

I am pretty sure my answer is correct.

Thanks Alan, that is a much better way to present it.  :)

I think that there are 9 ways to chose the 1

then there are 8C4 ways to choose 4.  

But each time you choose 4 you are also choosing the other 4 in the last group so my best guess is

9* 8C4 divided by 2

=9* 70 /2   

= 315 ways.

I don't think so.. Let's ask Alan or Heureka .....

I think they cancel each other out and the answer is just 2010

Looking at it a little more formally.

I think it means

\(2010=(x+1)^3\\ \sqrt[3]{2010}-1=x\\ f(\sqrt[3]{2010}-1)=(\sqrt[3]{2010}-1+1)^3=2010\)

How many hours between 6am and 11 am

what happened to the temp?

What happens with the temp every hour?

Thanks for sharing your solution guest  

Not quite

Joy bought X

Ansen bught 2X

so far so good.

Kingley bought 3 less than 3 times as many slices as joy.

What is 3 times as many slices as Joy?   what is 3 less than that?

Jacky bought twice the sum of what joy bought and 5. 

This is badly worded but it means

But it means. 

add 5 to what Joy bought, and THEN you double it.   That is what Jacky gets.

The last one is similar.

NOW   try again.

So long as I have helped you to learn, I am pleased.