The circle graph above shows the percents of pictures in an art show by category. If 36 of the pictures were landscapes, how many pictures were in the art show?
There were 120 pictures in the art show.
To find the total number of pictures in the art show, we can use the information that 36 of the pictures were landscapes, which represents a certain percentage of the total. By determining what percentage 36 represents, we can calculate the total number of pictures.
If there were 70 pictures total, and 36 were landscapes, that would mean landscapes make up approximately 51.4% of the total, which is inconsistent with the typical percentages represented in art shows. This choice does not align with the calculation based on the assumption of 36 landscapes as part of a larger whole.
With a total of 100 pictures, 36 landscapes would represent 36% of the total. This is a plausible percentage, but typically, art show categories would have a wider range of percentages. However, this choice does not yield the correct total based on the context given in the question.
If 106 pictures were in the art show, then 36 landscapes would represent about 33.9% of the total. While this is a possible scenario, it does not account for a typical circle graph distribution, making this choice less likely to be the correct answer.
If there were 108 pictures total, the 36 landscapes would represent approximately 33.3% of the total. This is still not a round percentage usually seen in art shows, indicating that this option may not represent the total correctly either.
When the total number of pictures is 120, the 36 landscapes would represent exactly 30% of the total. This is a common and reasonable percentage found in various art show distributions, confirming that this choice aligns with the context of the question.
The calculation shows that if 36 pictures represent 30% of the total, the total number of pictures in the art show must be 120. This aligns with typical distributions found in art shows, making it the most plausible answer. All other options either yield improbable percentages or do not fit the context of the question.
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