Question 1201892
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Knowing how to set up and solve the problem using formal algebra is certainly a good skill to have.<br>
But you can get good mental exercise, and excellent problem-solving experience, by solving the problem informally, using logical reasoning and simple arithmetic.<br>
Suppose Miguel's business on Tuesday doubled, so that he had 4 clients on plan A and 6 on plan B, for a total of 8 hours.<br>
Then compare that to Monday's work, where there were 4 clients on plan A and 8 on plan B, for a total of 9 hours.<br>
Then the difference between the two days would be 2 more clients on plan B, with the same numbers on plan A for both days, with the time difference being 1 hour.<br>
So the time for the two additional clients on plan B is 1 hour, which means each workout on plan B last half an hour.<br>
Then use that with simple arithmetic with the workouts from either day to find that each workout on plan A lasts 1.25 hours.<br>