Final answer:
The ratio problem was solved by adding up the parts of the ratio, calculating the total shared amount, and then determining individual shares for Carlton and Floyd with Carlton receiving £16 and Floyd £24.
Step-by-step explanation:
The question involves solving a ratio problem related to sharing an amount of money between two people, Carlton and Floyd. The sharing ratio given is 2:3, and it's mentioned that each part of the ratio is worth £8. This information allows us to calculate the total number of parts involved in the ratio and then find out how much money Carlton and Floyd each receive.
First, let's determine the total number of parts. The ratio of 2:3 means there are 2 parts for Carlton and 3 parts for Floyd, making a total of 2 + 3 = 5 parts. If each part is worth £8, we multiply the number of total parts (5) by the value of each part (£8) to find the total money shared, which should be £40 (£8 x 5 parts).
To find out how much Carlton receives, we multiply the number of Carlton's parts (2) by the value of each part (£8). So, Carlton receives 2 x £8 = £16. Similarly, to find out how much Floyd receives, we multiply the number of Floyd's parts (3) by the value of each part (£8), which gives us 3 x £8 = £24. Thus, Carlton and Floyd receive £16 and £24 respectively.
Overall, we have solved the mathematical problem completely by calculating the individual amounts received by Carlton and Floyd based on the given ratio and the value of each part.