JAMB 1987 · UME · Q8

Peter's weekly wages are ₦20.00 for the first 20 weeks and ₦36.00 for the next 24 weeks. Find his average weekly wage for the remaining 8 weeks of the year if his average weekly wage for the whole year is ₦30.00.

Worked solution (try it first)
  1. A year has 52 weeks, so the year's total at an average of ₦30 is 52×30=156052 \times 30 = 1560 naira.
  2. The first 44 weeks earn 20×20+24×36=400+86420 \times 20 + 24 \times 36 = 400 + 864, which is ₦1264.
  3. That leaves 1560−1264=2961560 - 1264 = 296 naira for the last 8 weeks.
  4. So the average there is 296÷8=37296 \div 8 = 37, which is ₦37.00, option A.

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