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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 pictures represent a certain percentage of the total. Since landscapes are a category within the total, we can calculate the total using the known proportion.

A) 70

Choosing 70 as the total number of pictures would imply that landscapes make up a very large percentage. Specifically, 36 out of 70 is approximately 51.4%, which is unlikely for a typical distribution in an art show with multiple categories.

B) 100

If we consider 100 as the total number of pictures, then landscapes would account for 36% of the total. While this percentage is feasible, it does not match the expected distribution of categories in an art show, which suggests that a larger total is more reasonable.

C) 106

Selecting 106 as the total number of pictures would mean that landscapes constitute approximately 33.96% of the total. While this number is closer, it still does not align with the common distribution seen in art shows where categories typically represent larger percentages.

D) 108

With 108 as the total number of pictures, landscapes would make up about 33.33% of the total. Although this is a reasonable percentage, it still does not reflect the total number accurately based on the given information.

E) 120

When considering 120 as the total number of pictures, the landscapes represent exactly 30% (36 out of 120) of the total. This percentage aligns well with typical distributions in art shows, making it the most reasonable and accurate choice.

Conclusion

The correct answer is 120 pictures because it accurately reflects the proportion of landscapes to the total based on the given data. All other options fail to provide a reasonable percentage that would typically be observed in such an event, making option E the definitive choice.