+0  
 
+1
177
2
avatar

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.

Guest Jun 2, 2017

Best Answer 

 #2
avatar+89760 
+2

You are very observant about those first letters ZZZ...  but your logic is just a little off :))

 

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

 

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

Melody  Jun 2, 2017
Sort: 

2+0 Answers

 #1
avatar+312 
+2

x+y+z+t=number of students at Oddville Academy

(Also I noticed that the languages' first letters spell "odd")

ZZZZZZ  Jun 2, 2017
 #2
avatar+89760 
+2
Best Answer

You are very observant about those first letters ZZZ...  but your logic is just a little off :))

 

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

 

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

Melody  Jun 2, 2017

4 Online Users

avatar
We use cookies to personalise content and ads, to provide social media features and to analyse our traffic. We also share information about your use of our site with our social media, advertising and analytics partners.  See details