Final answer:
By setting up equations based on the given ratio 5:4 and the information that Dan receives £8 more than David, it was determined that David received £32.
Step-by-step explanation:
If Dan and David share money in the ratio of 5:4, and Dan gets £8 more than David, we can set up equations to find out how much David got. Let's assume the amount David gets is x. Therefore, Dan would get x + £8. Following the ratio 5:4, we can express this as 5 parts for Dan and 4 parts for David, which would mean 5x = 4x + £8.
Subtracting 4x from both sides gives us x = £8, which is the amount more that Dan gets. Since that’s the difference in their shares and corresponds to 1 part in the ratio, David's share is 4 parts or 4 times £8, which is £32.
David gets £32.