Question 12

70 percent of the rolls were not sesame.

To determine the percentage of rolls that were not sesame, we first note that 40 percent of the rolls were plain. This means that the remaining 60 percent of the rolls were either sesame or another type. Given that 30 percent of the total rolls were sesame, we can conclude that the percentage of rolls that were not sesame amounts to 70 percent.

A) 12%

This option is incorrect because it significantly underestimates the proportion of rolls that were not sesame. Given that 40 percent were plain and 30 percent were sesame, the rolls that were not sesame must be higher than 12 percent.

B) 28%

This option is also incorrect as it fails to account for the total percentage of rolls that were either plain or sesame. The calculation clearly shows that 70 percent of the rolls were not sesame, making 28 percent an inaccurate choice.

C) 60%

This option misrepresents the total percentage of rolls that were not sesame. While it reflects the percentage of rolls that were either plain or sesame, it overlooks the additional percentage of rolls that were neither, leading to an incorrect conclusion.

D) 70%

This option is correct because, after calculating the total rolls sold, 40 percent were plain and 30 percent were sesame. Adding these gives us 70 percent of rolls accounted for, leaving 30 percent unaccounted. Thus, 70 percent of the rolls were not sesame.

E) 82%

This option is incorrect because it overestimates the percentage of rolls that were not sesame. The calculations show that only 70 percent of the rolls fall into that category, making 82 percent an inaccurate figure.

Conclusion

The correct answer, 70 percent, is derived from the calculations of the total rolls sold, with 40 percent being plain and 30 percent sesame. All other options fail because they either underestimate or overestimate the percentage of rolls that were not sesame, demonstrating a misunderstanding of the distribution of the rolls sold.