Final answer:
By setting up equations based on the ratio 3:5:6 and the information that Nick receives £250 less than Oliver, we find the value of one part in the ratio. This value allows us to calculate that Peter receives £750.
Step-by-step explanation:
To calculate how much money Peter receives, we must first understand the ratio given for Nick, Oliver, and Peter. The ratio is 3:5:6, meaning for every 3 parts Nick gets, Oliver gets 5 parts, and Peter gets 6 parts. Knowing that Nick receives £250 less than Oliver, we can set up equations based on the ratio to find the total parts and the value of one part.
Let's denote the value of one part as 'x'. Then,
Nick gets 3x,
Oliver gets 5x, and
Peter gets 6x.
Since Nick receives £250 less than Oliver:
3x + 250 = 5x
Solving this we get:
x = £125
Now we know the value of one part, which is £125. Therefore, Peter's share is:
6x = 6 × £125 = £750.
So, Peter receives £750.