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?

Rationale

250 forks were not used for the dinner.

The charity group initially purchased 3,500 forks (70 boxes × 50 forks per box). After using all forks from 65 boxes and 2/5 of the forks from one additional box, they used a total of 3,250 forks, leaving 250 forks unused.

A (230) YOUR ANSWER

This choice suggests that 230 forks were unused, which would imply that the group used 3,270 forks. However, this does not correspond to the actual calculations, which show that 3,250 forks were used, leaving 250 unused.

B (250) CORRECT

This choice correctly reflects that the group used 3,250 forks out of the total 3,500 purchased. The calculation of 3,500 total forks minus 3,250 used equals 250 forks that were not used.

C (270) YOUR ANSWER

Choosing 270 forks as unused implies that the group used 3,230 forks. This figure does not match the total used from the boxes, which is confirmed to be 3,250 forks.

D (280) YOUR ANSWER

This option suggests that 280 forks were not used, meaning the group would have used 3,220 forks. This is inconsistent with the calculations because the actual used forks total 3,250.

E (320) YOUR ANSWER

If 320 forks were considered unused, this would mean the group used 3,180 forks, which again does not match the determined total of 3,250 used forks.

Conclusion

The correct determination reveals that out of the 3,500 forks purchased for the charity dinner, a total of 3,250 were utilized, leaving 250 forks unused. Each incorrect option miscalculates the number of forks used or does not align with the total purchased, emphasizing the importance of accurate arithmetic in problem-solving scenarios.

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?

250 forks were not used for the dinner.

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