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zexius
There's two ways I can see someone doing this:

The first way requires you to work out the price of 1 night, and multiply that price by 7. So you would do 261 ÷ 3 = 87 (price) and 3 ÷ 3 = 1 (nights). So now you know that per night, it costs 87. Multiply this by 7 to get 609 as the total for 7 nights.

The second method requires you to work out 7 ÷ 3, which is 2.33333333... Multiply 261 by 2.33333333 to work out how much it is for 7 nights. (Also 609). 

The first method however is a lot simpler and sometimes more accurate, because as we found in this example, we didn't encounter any decimals to get the answer. 
Given:
261 for 3 nights.

Find the cost for a 7 night stay.

We need to get the unit rate.

261 ÷ 3 nights = 87 per night 

87 x 7 nights = 609 for a 7 night stay.