Question

those are currency exchange rates 1 us dollar = 7.76 hk dollars 1 us dollar =1.47 nk dollars work out the value of 1000 hk dollars in nz dollars

Answer 1

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.