33. 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?
Answer: D
The fraction of the donuts in the three boxes that were either powdered or plain is 2/3.
To determine the fraction of donuts that are either powdered or plain, we must analyze the total number of donuts and the specific quantities of powdered and plain varieties. In this case, the calculation leads to the conclusion that 2/3 of the total donuts are either powdered or plain.
A) 1/6
This option is incorrect because 1/6 suggests that a very small portion of the total donuts are powdered or plain. Given the total number of donuts, this fraction does not accurately reflect the larger quantity of the powdered and plain donuts present.
B) 5/18
5/18 is also incorrect as it implies a proportion that is less than 1/3 of the total donuts. The numbers do not support such a low fraction when considering the actual count of powdered and plain donuts in the boxes.
C) 1/3
While 1/3 may seem plausible, it underestimates the proportion of powdered and plain donuts. The actual calculation shows that more than one-third of the donuts fall into these categories, making this option inaccurate.
D) 2/3
This is the correct answer because it accurately represents the fraction of total donuts that are either powdered or plain. The calculation confirms that two-thirds of the donuts in the three boxes are indeed of these varieties, reflecting the correct distribution.
Conclusion
The correct answer, 2/3, is supported by the actual counts of powdered and plain donuts in the total. All other options fail to represent the correct proportion, as they either underestimate or miscalculate the number of donuts in these categories. Thus, 2/3 accurately captures the fraction of donuts that are either powdered or plain.