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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 ??

User XmasRights
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1 Answer

3 votes
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


User Mdk
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