1. A charity group purchased supplies for a benefit dinner, including 70 boxes of forks containing 50 forks each. If the group used all the forks in 65 of the boxes and 2/5 of the forks in one additional box for the dinner, how many of the forks that the group purchased were not used for the dinner?
Answer: B
250 forks were not used for the dinner.
The charity group purchased a total of 3,500 forks and used 3,250 forks for the dinner, leaving 250 forks unused.
A) 230
This option is incorrect because it suggests that only 230 forks were not used. To arrive at this number, one would have to incorrectly calculate the total number of used forks, which does not align with the actual numbers derived from the problem.
B) 250
This is the correct answer. The group had 3,500 forks and used 3,250 for the dinner. The remaining 250 forks (3,500 - 3,250 = 250) were not utilized, making this the accurate choice based on the calculations.
C) 270
Choosing 270 forks as unused is incorrect as it miscalculates the total used. It would imply that more than the actual number of forks were used in the dinner, contradicting the details provided.
D) 280
This option is also incorrect, as it suggests that 280 forks remained. This number exceeds the correct calculation of remaining forks after accounting for those used.
E) 320
This choice is incorrect as it suggests that a significantly larger number of forks were not used. The calculations show that only 250 forks were left, making 320 an inaccurate conclusion.
Conclusion
The correct number of unused forks is definitively 250, as derived from the total purchased and the amount used during the dinner. Each of the other options miscalculates the total utilized or remains, failing to adhere to the information given in the problem statement.