To find out how much money Maggie has in total, follow these steps:
1. Determine the average value of one coin when she picks 5 coins:
- If the maximum value for 5 coins is £4.50, the average value per coin is:
[tex]\[
\text{Average maximum value per coin} = \frac{4.50}{5} = 0.90 \text{ pounds}
\][/tex]
- If the minimum value for 5 coins is £2.70, the average value per coin is:
[tex]\[
\text{Average minimum value per coin} = \frac{2.70}{5} = 0.54 \text{ pounds}
\][/tex]
2. Estimate the total value of all 6 coins:
- Using the average maximum value per coin:
[tex]\[
\text{Total maximum value for 6 coins} = 0.90 \times 6 = 5.40 \text{ pounds}
\][/tex]
- Using the average minimum value per coin:
[tex]\[
\text{Total minimum value for 6 coins} = 0.54 \times 6 = 3.24 \text{ pounds}
\][/tex]
3. Calculate an average of these two estimates to provide a rough estimate of the total money:
[tex]\[
\text{Average total value} = \frac{5.40 + 3.24}{2} = \frac{8.64}{2} = 4.32 \text{ pounds}
\][/tex]
In conclusion, Maggie is estimated to have around £4.32 in total. Given the uncertainty in exact coin values, this is a reasonable average estimate based on the provided extreme values.
