The Correct Answer and Explanation is:
The correct answer is £21.00.
This problem requires us to calculate the total amount of money James will have saved after a specific period. The solution involves a straightforward multiplication of his weekly income by the number of weeks.
First, we identify the key pieces of information given in the question. James receives a fixed amount of £3.50 every week as pocket money. The time frame we are interested in is six weeks. The question assumes that he saves all the money he receives during this period.
To find the total savings, we need to determine the sum of his weekly pocket money over the six week period. While we could solve this by adding £3.50 to itself six times, a much more efficient method is to use multiplication. We will multiply his weekly pocket money by the number of weeks.
The calculation is as follows:
Total Savings = Weekly Pocket Money × Number of Weeks
Total Savings = £3.50 × 6
To make this multiplication simpler, we can break it down into two parts. First, we can multiply the whole pounds, and then we can multiply the pence.
- Multiply the pounds: £3 × 6 = £18.
- Multiply the pence: 50p × 6 = 300p.
Since there are 100 pence in one pound, we need to convert the 300 pence into pounds. We do this by dividing by 100.
300p ÷ 100 = £3.00.
Finally, we add the two results together to find the total amount saved.
£18.00 + £3.00 = £21.00.
Therefore, after six weeks, James will have saved a total of £21.00. This calculation demonstrates how consistent savings, even of a small amount, can accumulate into a more significant sum over time.
