Final answer:
By calculating Peter's total wages for the first 44 weeks and subtracting this from his total annual wages, we determined that the average weekly wage for his remaining 8 weeks of the year is #37.00.
Step-by-step explanation:
To calculate Peter's average weekly wage for the remaining 8 weeks of the year, given that his average weekly wage for the year is #30.00, we need to combine his wages for the first 20 weeks and the next 24 weeks and divide by the total number of weeks worked.
Peter's total wages for the first 20 weeks are #20.00 * 20 = #400.00.
For the next 24 weeks, his total wages are #36.00 * 24 = #864.00.
Combining these gives us a total wage for 44 weeks of #400.00 + #864.00 = #1264.00.
If his average wage for the whole year (52 weeks) is #30.00, then his total wages for the year would be 52 * #30.00 = #1560.00. The remaining wages to make up the year's total would be for the last 8 weeks, which we can find by subtracting the known total wages from the total required for the year.
The remaining wages are #1560.00 - #1264.00 = #296.00. Finally, to find the average weekly wage for the remaining 8 weeks, we divide this amount by 8.
The average weekly wage for the remaining 8 weeks is #296.00 / 8 = #37.00.