Question

School meeting was attended only by sophomores, juniors, and seniors. 5/12 of those who attended were juniors, and 1/3 were seniors. If 36 sophomore attended, what was the total number of students who attended the meeting ??

Answer 1

If
`(9)/(12)` of students were juniors and seniors that leaves the 36 sophomores to be
`(3)/(12)` or
`(1)/(4)` of attendees. I got
`(9)/(12)` by converting
`(1)/(3) to (4)/(12) by multiplying it by 4` and adding it to
`(5)/(12)`.

Now if 36 is
`(3)/(12)` of the equation that means theirs at least 36 juniors and seniors.

Lets start with seniors. there should be just over 36 of them there. Lets start by multiplying 36 by
`(3)/(12)` to figure out how many
`(1)/(12)` is.
The equation would look like this 36*(3/12)
start with 3/12. this equals .25 or
`(1)/(4)`.
Now multiply 36 by .25. this equals 9.

We have 9 students per
`(1)/(12)` of the attendees.

To get the amount of seniors add 9 to 36
`(4)/(12)` because we already stated
`(3)/(12)` is 36.
36+9=45

Now to find the juniors add another 9 to create
`(5)/(12)`.
45+9=54

In total you have:
36 sophomores
54 juniors
45 seniors