In a college philosophy class during the fall semester, there were 323 students. 42% of the students were philosophy majors, and the rest were not philosophy majors. In the spring semester, the same number of students who were not philosophy majors were in the class as in the fall, but there were only 298 total students in the class. In the spring, what percent of students were not philosophy majors?Choose 1 answer:(A) 46%(B) 58%(C) 63%(D) 92%
Q. In a college philosophy class during the fall semester, there were 323 students. 42% of the students were philosophy majors, and the rest were not philosophy majors. In the spring semester, the same number of students who were not philosophy majors were in the class as in the fall, but there were only 298 total students in the class. In the spring, what percent of students were not philosophy majors?Choose 1 answer:(A) 46%(B) 58%(C) 63%(D) 92%
Calculate Philosophy Majors: Calculate the number of philosophy majors in the fall semester.42% of 323 students were philosophy majors.0.42×323=135.66Since the number of students cannot be a fraction, we round to the nearest whole number.135.66 rounds to 136 philosophy majors.
Calculate Non-Philosophy Majors (Fall): Calculate the number of students who were not philosophy majors in the fall semester.Total students in the fall − Number of philosophy majors = Number of non-philosophy majors323−136=187 non-philosophy majors
Determine Non-Philosophy Majors (Spring): Determine the number of non-philosophy majors in the spring semester.According to the problem, the number of non-philosophy majors remains the same in the spring semester as in the fall.So, there are 187 non-philosophy majors in the spring semester.
Calculate Percentage of Non-Philosophy Majors: Calculate the percentage of non-philosophy majors in the spring semester.Percentage = (Total number of students in the springNumber of non-philosophy majors)×100Percentage = (298187)×100
Round Percentage: Perform the calculation to find the percentage.Percentage = (298187)×100≈62.75%Since we need to choose the closest answer from the options, we round to the nearest whole number.62.75% rounds to 63%.
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