Question

In British pounds, what is the positive difference between the 200 Canadian dollars and 200 New Zealand dollars? Give your answer in pounds.

Answer 1

Hint: First convert both Canadian currency and New Zeeland currency in terms of the British pound and then subtract the smaller from the larger, this will give the required answer.

Complete step by step answer:
We have given two currencies, 200 Canadian dollars, and 200 New Zeeland dollars.
The goal is to find the positive difference between these currencies and expressing the answer in terms of pounds.
We know that the relation in Canadian dollars and the British pound is given as:
1 Canadian dollars$ = 0.61$ British pounds
We have given $200$ Canadian dollars, so its value in term of British pounds is given as:
200 Canadian dollars$ = 200 \times 0.61$ British pounds
200 Canadian dollars$ = 122$ British pounds
So, $200$ Canadian dollars are equal to $122$ British pounds.
Now, we have to convert $200$ New Zeeland dollars into British pounds.
We know the relation between the New Zeeland dollars and the British pounds is given as:
1 New Zeeland dollars$ = 0.51$ British pounds
We have given 200 New Zeeland dollars, so its value in term of British pounds is given as:
200 New Zeeland dollars $ = 200 \times 0.51$ British pounds
200 New Zeeland dollars $ = 102 $British pounds
So, 200 New Zeeland dollars are equal to 102 British pounds.
The question is asking for the positive difference, it only means that we have to subtract the smaller value out of the greater value and we can see that the Canadian value in terms of a pound is greater than the New Zeeland pounds, so we subtract the New Zeeland pound out of the Canadian pound.
Positive difference$ = 200$ Canadian pounds$ - 200$ New Zeeland pound
Positive difference$ = 122 - 102$
Positive difference$ = 20$

Therefore, the positive difference between the given currencies is 20 pounds.

Note:
we can also solve the problem using the alternate method. We know that:
1 Canadian dollars$ = $0.61 British pounds
1 New Zeeland dollars$ = $0.51 British pounds
Now, find the positive difference between these currencies.
Difference$ = 0.61 - 0.51$
Difference$ = 0.10$
Now, multiply the obtained difference by 200.
$ = 0.10 \times 200$
$ = 20$
Hence, there is a difference of 20 pounds in the given currencies.