8. Fred worked 39.5 hours last week. Alice worked 6.75 fewer hours than Fred. How many hours did Alice work?
Answer: A
Alice worked 33.75 hours.
Alice worked 6.75 hours fewer than Fred, who worked 39.5 hours. Subtracting 6.75 from 39.5 gives us 33.75 hours for Alice.
A) 33.75 HOURS
This option is correct because it accurately reflects the calculation: 39.5 hours (Fred's total) minus 6.75 hours results in 33.75 hours.
B) 33.25 HOURS
This option is incorrect as it does not match the calculation. If Alice worked 33.25 hours, that would mean she worked 6.25 hours fewer than Fred, which contradicts the given information.
C) 33.35 HOURS
This option is incorrect because it does not reflect the correct subtraction from Fred's hours. The figure of 33.35 hours does not align with any logical deduction from the hours Fred worked.
D) 33.85 HOURS
This option is also incorrect. If Alice worked 33.85 hours, it would imply that she actually worked more hours than Fred, which is contrary to the statement that she worked fewer hours.
Conclusion
The correct answer is definitively 33.75 hours, as it is derived from a straightforward subtraction of 6.75 hours from Fred's total. All other options fail to accurately represent the relationship between Fred's and Alice's work hours, either by underestimating or overestimating Alice's total hours worked.