Question

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

Answer 1

To find the number of students who do not favor forming a debate team, we can break the problem down into steps. First, calculate the number of seniors and non-seniors at Mountain High School. Then find the number of seniors and non-seniors in favor of forming a debate team. Finally, subtract the number of students in favor from the total number of students to find the number of students who do not favor the idea.

Step-by-step explanation:

To solve this problem, we can break it down into steps:

1. Find the number of seniors at Mountain High School by multiplying the total number of students (7000) by the fraction representing the seniors (1/7): 7000 * 1/7 = 1000 seniors.
2. Find the number of seniors in favor of forming a debate team by multiplying the number of seniors by the fraction representing the seniors in favor (2/5): 1000 * 2/5 = 400 seniors.
3. Find the number of non-seniors at Mountain High School by subtracting the number of seniors from the total number of students: 7000 - 1000 = 6000 non-seniors.
4. Find the number of non-seniors in favor of forming a debate team by multiplying the number of non-seniors by the fraction representing the non-seniors in favor (1/8): 6000 * 1/8 = 750 non-seniors.
5. Find the total number of students in favor of forming a debate team by adding the number of seniors in favor and the number of non-seniors in favor: 400 + 750 = 1150 students.
6. Find the number of students who do not favor forming a debate team by subtracting the number of students in favor from the total number of students: 7000 - 1150 = 5850 students.

Therefore, there are 5850 students who do not favor the idea of forming a debate team.

Answer 2

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

=
`(1)/(7)  * 7000  =1000`

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 =
`(2)/(5)  * 1000  = 400`

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 =
`(1)/(8)  * 6000  = 750`

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.