For a class party, a teacher ordered three boxes of donuts, as shown in the table above. What fraction of the donuts in the three boxes were either powdered or plain?

Rationale

Two-thirds of the donuts in the three boxes were either powdered or plain.

To determine the fraction of donuts that are either powdered or plain, we need to add the quantities of these types of donuts and divide by the total number of donuts in the three boxes. The calculations confirm that powdered and plain donuts make up two-thirds of the total.

A ({1/6}) YOUR ANSWER

This fraction suggests that only a small portion of the donuts are either powdered or plain. However, upon calculating the actual quantities, it becomes clear that this choice underestimates the number of powdered and plain donuts, as they account for a larger proportion of the total.

B ({5/18}) YOUR ANSWER

This fraction implies that approximately 27.78% of the donuts are either powdered or plain. This is incorrect, as the actual count of these donuts is significantly higher than this fraction indicates, leading to a miscalculation of the total distribution.

C ({1/3}) YOUR ANSWER

This choice states that one-third of the donuts are either powdered or plain. While closer to the correct answer, it still does not accurately reflect the actual ratio, which is two-thirds. This choice underrepresents the number of these types of donuts relative to the total.

D ({2/3}) CORRECT

This is the correct choice, as it accurately represents the ratio of powdered and plain donuts to the total number of donuts across the three boxes. The calculation shows that these two categories indeed constitute two-thirds of the total.

E ({5/6)) YOUR ANSWER

This fraction suggests that nearly all donuts are either powdered or plain, which is an overestimation. The count of other types of donuts indicates that this choice includes too many non-powdered or non-plain varieties, skewing the actual ratio.

Conclusion

In summary, the fraction of donuts that are either powdered or plain in the three boxes is two-thirds, as determined by accurate calculations of their quantities in relation to the total number of donuts. The other choices either underestimate or overestimate this proportion, emphasizing the importance of precise calculations in determining ratios.

For a class party, a teacher ordered three boxes of donuts, as shown in the table above. What fraction of the donuts in the three boxes were either powdered or plain?

Two-thirds of the donuts in the three boxes were either powdered or plain.

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