Hobbit land...

1. Jan 4, 2016

Natasha1

1. The problem statement, all variables and given/known data
In Hobbit Land, they use nicks, nacks and nocks for currency.

2. Relevant equations
3 nicks = 2 nacks
5 nacks = 4 nocks
7 nocks = 6 nucks

3. The attempt at a solution
How many nacks make 60 nicks? I got 40
How many nicks make 80 nocks? I got 150
How many nicks make 240 nucks? I got 525

Am I correct?

Last edited: Jan 4, 2016
2. Jan 4, 2016

Samy_A

The first two are correct. There seems to be a typo in the third.

3. Jan 4, 2016

Natasha1

yes typo corrected. Is the third correct?

4. Jan 4, 2016

Samy_A

Yes.

5. Jan 4, 2016

3 nicks is 2 nacks:

$\frac{2}{3} \frac{nacks}{nicks}$

Use dimensional analysis:

$(\frac{2}{3} \frac{nacks}{nicks})(60 nicks)$

I'll let you correct yourself!

6. Jan 4, 2016

Natasha1

Thank you everyone, I have understood

7. Jan 4, 2016

SammyS

Staff Emeritus
@Samy_A ,
This is one reason why some of us old-timers here at PF use the "Reply" button, especially when responding to the Original Post.

8. Jan 5, 2016

Staff: Mentor

In future posts, please show your work in reaching a solution. Just showing us the answer you got doesn't help us show your where you might have made a mistake.

9. Jan 5, 2016

ok