Final answer:
David and Julie split £40 in a 3:2 ratio; David receives £24, and Julie receives £16. This is calculated by dividing the total earnings by the sum of the ratio parts and multiplying it by the respective parts each person receives.
Step-by-step explanation:
The question is asking us to split the £40 earnings between David and Julie in a ratio of 3:2. This means that for every 5 parts (3 parts for David and 2 parts for Julie) the £40 will be divided.
- Firstly, calculate the value of one part by dividing the total earnings by the sum of the ratio parts: £40 / (3+2) = £40 / 5 = £8.
- Then, multiply the value of one part by the number of parts each person gets: David gets 3 parts and Julie gets 2 parts. So, David gets £8 * 3 = £24, and Julie gets £8 * 2 = £16.
Thus, the correct answer is: David gets £24, Julie gets £16.