Fred worked 39.5 hours last week. Alice worked 6.75 fewer hours than Fred. How many hours did Alice work?

Rationale

Alice worked 33.75 hours.

Fred worked 39.5 hours and Alice worked 6.75 fewer hours than Fred. Therefore, Alice worked 39.5 - 6.75 = 33.75 hours.

A (33.75 HOURS) CORRECT

This is the correct answer. Alice worked 6.75 hours less than Fred, who worked 39.5 hours. The difference between these two times gives us the total hours Alice worked, which is 33.75 hours.

B (33.25 HOURS) YOUR ANSWER

This option is incorrect because it is less than the actual number of hours Alice worked. If Alice had worked 33.25 hours, that would mean she worked 6.25 hours less than Fred, not 6.75 hours less.

C (33.35 HOURS) YOUR ANSWER

This option is incorrect because it does not accurately reflect the number of hours Alice worked. If Alice had worked 33.35 hours, she would have worked 6.15 hours less than Fred, which is not the case.

D (33.85 HOURS) YOUR ANSWER

This option is also incorrect. If Alice had worked 33.85 hours, she would have worked 5.65 hours less than Fred, not 6.75 hours less.

Conclusion

The correct answer is 33.75 hours. This is calculated by subtracting the difference in the number of hours that Alice worked from Fred's hours. The other options are incorrect because they do not accurately reflect the difference in hours between Fred and Alice's working time.

Fred worked 39.5 hours last week. Alice worked 6.75 fewer hours than Fred. How many hours did Alice work?

Alice worked 33.75 hours.

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