Part I. Venn Diagrams1. What do you think the two categories would be for this scenario?For the away RHS football game, 180 students rode the bus out of 400 total students that attended. 115students were freshmen. There are 25 freshmen that did not ride the bus.2. What do you think the two categories would be for this scenario?During C lunch at RHS on Thursday 168 students bought pizza out of the 350 total students that were at Clunch. 123 students were sophomores. There are 32 sophomores that did not buy pizza.

Answer:See explanationStep-by-step explanation:1. 400 students in total.Category 1: Students which rode the bus (180)Category 2: Students that were freshmen (115)Let x be the number of students in both categories. Then180 - x students rode the bus and were not freshmen115 - x students were freshmen and didn't ride the busSo, 115 - x = 25x = 90Thus, 90 students rode the bus and were freshmen 90 students rode the bus and were not freshmen 25 students were freshmen that did not ride the bus 400 - 90 - 90 - 25 = 195 students didn't rode the bus and were not freshmen2. 350 students in total.Category 1: Students bought pizza (168)Category 2: Students that were sophomores (123)Let x be the number of students in both categories. Then168 - x students that bought pizza and were not sophomores123 - x students were sophomores and didn't buy pizzaSo, 123 - x = 32x = 91Thus, 91 students bought pizza and were sophomores 77 students bought pizza and were not sophomores32 students were sophomores that did not buy pizza 350 - 91 - 77 - 32 = 150 students didn't buy pizza and were not sophomores