Answer: 1000 HK dollars has the same value as 188.15 NZ dollars.
Step-by-step explanation:
We know that:
1 US dollar = 7.76 HK dollars
1 US dollar = 1.46 NZ dollars.
We have 1000 HK dollars, and we want to know the value in NZ dollars.
First, let's rewrite the 1000 HK dollars in US dollars.
Here we use the relation:
1 US dollar = 7.76 HK dollars
Then:
1 = (1 US dollar/7.76 HK dollars)
Then we can write:
1000 HK = (1000 HK)*1 = (1000 HK)*( (1 US /7.76 HK ))
1000 HK = (1000 HK/7.76 HK)* 1 US = 128.87 US
1000 HK = 128.87 US
Now we can use the relationship:
1 US = 1.46 NZ
Then:
1 = (1.46 NZ)/(1 US)
So we can rewrite:
128.87 US = (128.87 US)*1 = (128.87 US)*( (1.46 NZ)/(1 US))
128.87 US = (128.87 US/1 US)*1.46 NZ = 188.15 NZ
Then:
1000 HK = 128.87 US = 188.15 NZ
So we can conclude that 1000 HK dollars has the same value as 188.15 NZ dollars.
