Question 1209933
<br>
The AI solution from the other "tutor" solves the problem using a standard formal algebraic process, which is of course fine.<br>
This is an example of a problem that can be solved by logical analysis that corresponds to a non-standard algebraic process.<br>
When there were 7 technicians and 3 apprentices, the total wages was 820; when one of the apprentices became a technician, the total wages was 880.<br>
So when one apprentice becomes a technician, the total wages increases by 60.<br>
With that start, suppose now the other two apprentices became technicians.  When there are 9 technicians and 1 apprentice the total wages will be 940, and when there are 10 technicians and no apprentices, the total wages will be 1000.<br>
That of course means the wage of each technician is 1000/10 = 100.<br>
So when the wages for 7 technicians and 3 apprentices was 820, the wages for the 7 technicians was 700, which means the wages for the 3 apprentices was 820-700 = 120; so the wages for each apprentice is 120/3 = 40.<br>
ANSWER: 100 for each technician; 40 for each apprentice.<br>