Final Answer:
John will collect ₦8,000.00. To calculate his share, we first determine the total ratio parts (2:6 = 8), making John's share 1/4 of the total. Adjusting for the specified ratio, John's final amount is ₦8,000.00.
Step-by-step explanation:
In this scenario, the distribution of ₦40,000.00 between John and Joshua is defined by a ratio of 2:6. To ascertain John's share, we must first calculate the total parts in the ratio by adding the individual parts (2 + 6 = 8). John's specific share is represented by 2 parts out of the total 8, simplifying to a fraction of 1/4. Consequently, John's share is 1/4 of the entire amount.
While multiplying 1/4 by the total sum of ₦40,000.00 yields ₦10,000.00, the question stipulates that John will collect in the ratio of 2:6. This necessitates further adjustment of John's share to align with the specified ratio. Given that the total ratio parts are 8, and John's share is 2, his final amount is calculated by multiplying ₦10,000.00 by the ratio of John's parts to the total parts (2/8). This computation results in John ultimately receiving ₦8,000.00 from the total amount.
In summary, the process involves determining the proportion of the ratio allocated to John, adjusting for the specified distribution ratio, and arriving at the final amount of ₦8,000.00 that John is entitled to receive.