There are 7000 students at mountain high school, and 1/7 of these students are seniors. if 2/5 of the seniors are in favor of the school forming a debate team and 1/8 of the remaining students (not seniors) are also in favor of forming a debate team, how many students do not favor this idea

In total 5,850  students do not favor this idea.

Step-by-step explanation:

Here, total number of students in the high school = 7,000

Total seniors in the school = 1/7 of total students

=

So, the school has total 1000 seniors.

Number of juniors in the school  = Total Students - Number of seniors

                                                        = 7,000 - 1,000 = 6,000

So, the school has total 6,000 juniors.

Now, 2/5 of seniors are in favor of debate team.

2/5 of seniors  =

So, 400 seniors are in FAVOR of the debate team.

Also, 1/8 of juniors are in favor of debate team.

1/8 of juniors  =

So, 750 juniors are in FAVOR of the debate team.

⇒Total students favoring the debate team =  400 + 750 = 1150

Number of students NOT in favor  = Total Students - Number of students in favor

= 7000  - 1150  =  5850

Hence, in total 5,850  students do not favor this idea.