Currency Conversion in Hobbit Land

[Natasha1]

Homework Statement

In Hobbit Land, they use nicks, nacks and nocks for currency.

Homework Equations

3 nicks = 2 nacks
5 nacks = 4 nocks
7 nocks = 6 nucks

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?

 

[Samy_A]

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

 

[Natasha1]

yes typo corrected. Is the third correct?

 

[Samy_A]

Yes.

 

[faradayscat]

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!

 

[Natasha1]

Thank you everyone, I have understood

 

[SammyS]

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

@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.

 

[Mark44]

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?

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.

 

[Natasha1]

ok