Of the rolls sold at a certain bakery last week 40 percent were plain. Of the other rolls sold 30 percent were sesame. What percent of the rolls were not sesame?
70 percent of the rolls were not sesame.
To determine the percentage of rolls that were not sesame, we first need to find the percentage of rolls that were sesame and then subtract that from 100%. With 40% of the rolls being plain and 30% of the remaining rolls being sesame, we can calculate that 70% of the total rolls were not sesame.
This choice incorrectly suggests that only 12% of the rolls were not sesame. To arrive at this number would require a misunderstanding of the calculation process, specifically the proportions of plain and sesame rolls.
Selecting 28% implies that a smaller fraction of rolls are not sesame than what the calculations support. This choice does not account for the total percentages accurately, leading to an underestimation of the rolls that are not sesame.
This option suggests that 60% of the rolls were not sesame. However, this calculation does not consider the fact that 30% of the rolls sold were sesame, which, when combined with the plain rolls, results in a higher percentage of rolls that are not sesame.
This choice accurately reflects the calculation: since 40% of the rolls were plain and 30% of the remaining 60% rolls were sesame, this leaves 70% of the total rolls as not being sesame.
Choosing 82% indicates an overestimation of the rolls that are not sesame. This figure erroneously includes too many rolls in the calculation, ignoring the contributions of both plain and sesame rolls.
In summary, the calculation reveals that 70% of the rolls sold were not sesame. By understanding the distribution of plain and sesame rolls, we can accurately derive the percentage of rolls that do not fall into the sesame category. This logical approach to the problem illustrates the importance of carefully analyzing the relationships between different parts of a total.
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