Question

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

you can see that each x, y, and z include t in them -- the number who picked one language is going to be:
\( x +y+z \ - \ 3t +t \)
you can simplify that if you want to

Answer 2

ah ok thank you!

Answer 3

ah i just noticed -- i mean the number of the whole students would be that equation

the number of students who only picked one is respectively \( x/y/z-t \) and that is how you get the triple \(t\), plus you should add a \(t\) as well as a normal variable just as excess and yeah thats it

Answer 4

yea thats what i got as well thank you so much for helping :)