Suppose that the adult population consists of 19.04 million, those not in the labour force are 7.56 million and the number of unemployed is 0.88 million. Prior to the calculation of these figures, 0.1 million people dropped out of the labour force as they were unable to find suitable work. The total number of employed is ___ million. Round it to 1 decimal place.

Question

BlackTom AI · Accepted Answer

Labour force = employed + unemployed, and employed = labour force − unemployed.

1. Relevant concepts
- Adult population = labour force + not-in-labour-force.
- Labour force comprises employed and unemployed persons (those actively seeking work).
- A drop-out who left the labour force before these figures were compiled is already counted among "not in the labour force" and therefore does not appear in the unemployment total.

2. Step-by-step reasoning
- First find the labour force by subtracting those not in the labour force from the adult population.
- Then find employed by subtracting the unemployed from the labour force.
- Note that the statement “0.1 million people dropped out of the labour force prior to the calculation” indicates this change is already reflected in the provided counts (the 7.56 million not in the labour force and the 0.88 million unemployed). No further adjustment is needed.

3. Calculations with intermediate steps
- Adult population = 19.04 million
- Not in labour force = 7.56 million
- Labour force = adult population − not in labour force
  = 19.04 − 7.56
  = 11.48 million
- Unemployed = 0.88 million
- Employed = labour force − unemployed
  = 11.48 − 0.88
  = 10.60 million

4. Why this answer is correct
- The arithmetic follows directly from the identities above. The drop-out of 0.1 million is already incorporated into the “not in the labour force” number, so no additional adjustment is necessary. Subtracting unemployed from the labour force yields the employed total.

5. Why other approaches are incorrect
- Adding or subtracting the 0.1 million again (i.e., treating it as an extra adjustment) double-counts the change and gives incorrect employed totals (e.g., 10.5 or 10.7 million). Omission of the labour-force identity or misplacing the 0.1 million leads to these common errors.

6. Conclusion
The total number of employed is 10.6 million, which matches the provided answer.

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