Orla and Rachel split a sum of money between them in the ratio 5:9.
If Rachel has £40 more than Orla, what was the total amount that they split?
Give your answer in pounds.
Let's say the total sum of money they split is x pounds.
According to the given ratio, Orla receives 5/14*x pounds, and Rachel receives 9/14*x pounds.
We are also told that Rachel has £40 more than Orla, so we can set up the equation:
9/14*x = 5/14*x + £40
Subtracting 5/14*x from both sides gives us:
4/14*x = £40
Dividing both sides by 4/14 gives us:
x = £40 * (14/4) = £140
Therefore, the total amount that they split is £140. Answer: \boxed{140}.