Question

PLEASE HELP!!! WILL REWARD!!

I need a written explanation (please do not just give me an answer!)

The Oddville Academy offers three languages: Oriya, Dakhini, and Dutch (how odd!). Each student takes an odd number of languages – that is, every student takes either one language or three languages.

Let x be the number of students taking Oriya, y be the number of students taking Dakhini, z be the number of students taking Dutch, and t be the number of students taking all three languages. Find an expression in terms of x, y, z, and t for the total number of students at the Oddville Academy.

Answer 1

x+y+z=t
simple..
there are no other numbers that we have to follow like (1/2x or 3/4y) so it is just all together=t. the x, y, z will equal t because t is the total number of students taking three languages. And that number should be equivalent to x,y,z combined.

otherwise?? i d k

Answer 2

x+y+z-2t

Explanation:

There are t students taking all three and the rest take only 1 language.

The number taking only Oriya is x-t .

The number taking only Dakhini is y-t .

The number taking only Dutch is z-t .

So the number of students altogether is

x-t + y-t + z-t + t = x+y+z-2t.

Hope this helps! :D