Question

There are 3400 students at Central High School and 3/8 of these students are freshmen. If 3/5 of the freshmen are in favor of the school forming a track team and 1/5 of the remaining students (not freshmen) are also in favor of forming a track team, how many students are opposed to this idea?

Answer 1

First, we need to find the number of students that are freshmen: 3400 students x 3/8 = 1050 students

Next, we need to find the number of students that are in favor of forming a track team: 3/5 of the freshmen are in favor = 3/5 * 1050 = 630 students

To find the number of non-freshmen students: 3400 students - 1050 students = 2350 students

Now we need to find the number of non-freshmen students in favor of forming a track team: 1/5 of the non-freshmen students are in favor = 1/5 * 2350 = 470 students

Finally, to find the number of students opposed to the idea we need to subtract the number of students in favor from the total number of students: 3400 students - (630 students + 470 students) = 3400 - 1100 = 2300 students

So there are 2300 students at Central High School that are opposed to the idea of forming a track team.