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 be the number of students taking Oriya, be the number of students taking Dakhini, be the number of students taking Dutch, and be the number of students taking all three languages. Find an expression in terms of and for the total number of students at the Oddville Academy.
Please explain in detail
o = students taking Oriya
d = Dakhini
h = Dutch
t = all three
Since you are either taking o d or h or you are taking all three t
If you are t you are counted in o and d and h (the same amount)
so we will subtract them from EACH of the o d and h and then add the t
the total number of students = o-t + d-t + h-t + t
Total students = o + d + h - 3t + t
Total students = o + d + h - 2t